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BEGIN:VEVENT
SUMMARY:Biswajit Basu (Trinity College Dublin\, Ireland)
DTSTART;VALUE=DATE-TIME:20200915T110000Z
DTEND;VALUE=DATE-TIME:20200915T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/1
DESCRIPTION:Title: On a three-dimensional nonlinear model of Pacific equatorial oc
ean dynamics\nby Biswajit Basu (Trinity College Dublin\, Ireland) as p
art of Ashoka University mathematics seminars\n\n\nAbstract\nThis talk foc
usses on some investigations into a recently developed non-linear\, three
dimensional Pacific equatorial model for ocean dynamics. The development o
f the model had been motivated by observations and the model is able to ca
pture some essential properties of the flow in the Pacific equatorial regi
on. Analysis of velocity field and flow paths indicate that several known
and unknown features (which are essentially non-linear and three dimension
al such as upwelling/downwelling\, cellular flow structures\, divergence o
f flow from the equator and extra-equatorial flows\, subsurface ocean ‘b
ridge’ in the equatorial direction and sharp change in gradient of the f
low path) exist and can be simulated by the model.\n\nBiswajit Basu is a P
rofessor in the School of Engineering at Trinity College Dublin and leads
the area of research in Renewable Energy. He holds a Ph.D. in Engineering
from IIT Kanpur (1998) and a Dr. rer. Nat. from the University of Vienna
(2019) in Mathematics. He has also held positions as a Visiting Scholar an
d Visiting Professor at Rice University USA\, a Guest Professor at Aalborg
University Denmark\, a Senior Marie Curie Fellow at Plaxis BV Netherlands
\, a Distinguished Guest Professor at Tongji University China\, and a Dist
inguished Visiting Professor at Indian Institute of Engineering Science an
d Technology\, Shipur.\nHe has pioneered the development of time-frequency
and wavelet-based algorithms for identification\, nonstationary response\
, and control of time-varying and non-linear systems. His current research
focuses on nonlinear PDEs with application to nonlinear hydrodynamics\, o
cean energy generation\, and oceanography\; and quantum computing with app
lication to machine learning\, fluid dynamics\, optimization\, and control
. He has received several awards of which notable are: President of Irelan
d EU FP7 Research Champion Award in 2013\, Kobori Award for Structural Con
trol in 2014 from the Int. Association of Structural Control and Monitorin
g and Phil Doak Award from the Institute of Sound & Vibration Research\, S
outhampton in 2015.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nishad Kothari (IIT Madras)
DTSTART;VALUE=DATE-TIME:20200929T110000Z
DTEND;VALUE=DATE-TIME:20200929T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/2
DESCRIPTION:Title: Matching Theory: $K_4$-based and $\\overline{C_6}$-based Planar
Graphs\nby Nishad Kothari (IIT Madras) as part of Ashoka University m
athematics seminars\n\n\nAbstract\nFor several problems in Matching Theory
\, one may restrict attention to {\\em matching covered graphs} ---\ni.e.\
, connected graphs with the additional property that each edge belongs to
some perfect matching.\nTwo types of decompositions --- {\\it ear decompos
itions} and {\\it tight cut decompositions} --- play an important\nrole in
the study of these graphs.\n\nLov{\\'a}sz (1983) proved that every nonbip
artite matching covered graph admits an ear decomposition\nstarting from a
bi-subdivision of the complete graph~$K_4$\,\nor from a bi-subdivision of
the triangular prism~$\\overline{C_6}$. This\ngives rise to two natural p
roblems: Which matching covered graphs are $K_4$-based (i.e.\,\nadmit an e
ar decomposition starting from a bi-subdivision of $K_4$)? Likewise\, whic
h ones are $\\overline{C_6}$-based?\n\n\nIn a joint work with U. S. R. Mur
ty (\\url{https://onlinelibrary.wiley.com/doi/full/10.1002/jgt.21882})\,\n
we solved the aforementioned problems for planar graphs.\nAt a high-level\
, our solution comprises two steps: (i) reduce each problem to the case of
``bricks'' (special\nnonbipartite matching covere graphs)\nby applying th
e tight cut decomposition\, and (ii) solve each problem for the case of pl
anar bricks.\n\nI will discuss each of these problems\, and our solutions
for the planar case.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Riddhipratim Basu (ICTS-TIFR)
DTSTART;VALUE=DATE-TIME:20201020T110000Z
DTEND;VALUE=DATE-TIME:20201020T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/3
DESCRIPTION:Title: A story of universality in random interface growth\nby Ridd
hipratim Basu (ICTS-TIFR) as part of Ashoka University mathematics seminar
s\n\n\nAbstract\nOne dimensional interfaces growing in time (consider\, fo
r example\, the top envelope of the configuration in the game of TETRIS) a
re ubiquitous in nature. I shall describe a class of stochastic models for
interface growth that are believed to\, asymptotically\, share the same u
niversal characteristics observed in many naturally occurring interfaces\,
and sketch\, in parts\, an ongoing story of the fascinating mathematics d
eveloped over the last twenty years with a view to understand such interfa
ces rigorously.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tirthankar Bhattacharyya (IISc. Bangalore)
DTSTART;VALUE=DATE-TIME:20201103T110000Z
DTEND;VALUE=DATE-TIME:20201103T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/4
DESCRIPTION:Title: Dilation and von Neumann's inequality for matrices\nby Tirt
hankar Bhattacharyya (IISc. Bangalore) as part of Ashoka University mathem
atics seminars\n\n\nAbstract\nWe shall show some easy matrix techniques to
come up with interesting results like the maximum modulus principle and t
he von Neumann's inequality. This involves forming polynomials of matrices
. So\, we shall talk about the functions of matrices. Suppose T is an n by
n matrix with the largest singular value not larger than 1. The von Neuma
nn's inequality is a fundamental result which states that for a polynomial
p and a matrix T as above\, the largest singular value of p(T) is not lar
ger than 1. Interestingly\, this has a relation with complex analysis. The
method of proof of von Neumann's inequality produces a new proof of the m
aximum modulus principle as well.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Krishna Maddaly (Ashoka University)
DTSTART;VALUE=DATE-TIME:20201110T110000Z
DTEND;VALUE=DATE-TIME:20201110T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/5
DESCRIPTION:Title: Wavelets - Are these small waves?\nby Krishna Maddaly (Asho
ka University) as part of Ashoka University mathematics seminars\n\n\nAbst
ract\nAre wavelets small waves? This is the first question that comes to
mind\, if one has never heard of them. In this talk I will explain what th
ey are\, why they appeared in mathematics\, how they quickly took root and
how they silently form part of our lives without our ever realizing the f
act.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:B V Rajarama Bhat (ISI\, Bangalore)
DTSTART;VALUE=DATE-TIME:20201117T110000Z
DTEND;VALUE=DATE-TIME:20201117T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/6
DESCRIPTION:Title: Invariants\nby B V Rajarama Bhat (ISI\, Bangalore) as part
of Ashoka University mathematics seminars\n\n\nAbstract\nHere is a simple
puzzle: Start with a rectangular 3cm x 5cm piece of paper. Cut it down in
to smaller rectangular pieces and re-arrange to have a square of size 4cm
x 4cm.\n\n Without wasting any paper\, a little bit of thought should tel
l you that this is impossible as the originally area is 15cm2 and any rea
rrangement would have same area where as we are asked to get a square of a
rea 16cm2. Here `area’ is an `invariant’. It is an obstruction
to realize the transformation asked for. The notion of invariants is wid
ely used in mathematics to classify objects and to detect obstructions in
transforming systems from one state to another. It also has many practical
applications. In this talk we will describe the concept of invariants thr
ough various puzzles and some mathematical problems.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gaurav Bhatnagar (Ashoka University)
DTSTART;VALUE=DATE-TIME:20201201T110000Z
DTEND;VALUE=DATE-TIME:20201201T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/7
DESCRIPTION:Title: Ramanujan’s $_1\\psi_1$ sum\nby Gaurav Bhatnagar (Ashoka
University) as part of Ashoka University mathematics seminars\n\n\nAbstrac
t\nIt is now a hundred years since Ramanujan passed away. In his lifetime\
, he wrote his results in a few notebooks\, and it has taken nearly a hund
red years for mathematicians to prove all his results. We know him as one
of the greatest geniuses this world has seen\; but how many of his results
do you know? In the first talk in the Ashoka Mathematics Colloquiuim this
year\, I presented a few of his continued fraction results. The purpose o
f this talk is to present another result of Ramanujan. This result general
izes Jacobi’s triple identity and simultaneously the Beta integral. We p
resent a proof due to Mourad Ismail which has been described as the “Pro
of from the Book” for this result. We also show some classical identitie
s which follow from his identity. Much of the material we present is taken
from the lectures on Special Functions given by Dick Askey. \n\nThe talk
will be accessible to students provided they are willing to believe some u
nbelievable ideas of complex analysis.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:K Ramasubramanian (IIT Mumbai)
DTSTART;VALUE=DATE-TIME:20210202T110000Z
DTEND;VALUE=DATE-TIME:20210202T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/8
DESCRIPTION:Title: Construction of $4\\times 4$ Pandiagonal Magic Squares with Tur
agagati\nby K Ramasubramanian (IIT Mumbai) as part of Ashoka Universit
y mathematics seminars\n\n\nAbstract\nn India\, magic squares seem to have
been known for more than two millennia. However\, among the extant texts\
, a systematic introduction to the principles governing their construction
can be found only in the work of Nārāyaṇa Paṇḍita (c. 1356 CE). H
e has dedicated one full chapter of his Gaṇitakaumudī to describe Bhadr
agaṇita\, namely\, methods for constructing magic squares of different o
rders. The focus of this talk would be to present the algorithm propounded
by Nārāyaṇa Paṇḍita for constructing pan-diagonal magic squares o
f order 4 using only turagagati or horse-moves. Earlier studies by a few s
cholars starting with Datta and Singh have discussed this algorithm\, show
ing how consecutive pairs get placed in horse-moves. Whereas\, in our pres
entation\, we shall demonstrate that the construction of the entire square
can be made by employing only horse-moves. We shall also touch upon the p
roperties exhibited by such pan-diagonal squares.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:S. M. Srivastava (ISI\, Kolkatta)
DTSTART;VALUE=DATE-TIME:20210302T110000Z
DTEND;VALUE=DATE-TIME:20210302T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/9
DESCRIPTION:Title: The birth of set theory\nby S. M. Srivastava (ISI\, Kolkatt
a) as part of Ashoka University mathematics seminars\n\n\nAbstract\nGreat
Russian born German mathematician Georg Cantor discovered set theory towar
ds the end of nineteenth century. This had a great impact on mathematics.
Contrary to general perception Cantor was a hard headed mathematician. He
wrote his doctoral thesis in number theory under Kummer. He joined Halle u
niversity in Germany where he came in contact with Heine. Heine gave him t
he following problem from the then emerging area of Fourier series initiat
ed by French mathematician Joseph Fourier: Can a function $f: {\\mathbb R}
\\rightarrow {\\mathbb R}$ have more than one representation by a trigonom
etric series? This is equivalent to the following problem: Consider the tr
igonometric series\n$$S \\sim \\sum_{-\\infty}^{\\infty} c_n e^{inx}.$$\nS
uppose $\\lim_{N\\rightarrow \\infty}\\sum_{-N}^{N}e^{inx}\\rightarrow 0$
for all $x$. Does it follow that $c_n = 0$ for all $n$?\n\nCantor answered
this question in the affirmative. Further\, he called a set $D$ of real n
umbers \n"a set of uniqueness" if whenever \n$$\\lim_{N\\rightarrow \\inft
y}\\sum_{-N}^{N}e^{inx}\\rightarrow 0$$ \nfor all $x\\in {\\mathbb R}\\set
minus D$\, $c_n = 0$ for all $n$. While studying the sets of uniqueness\,
he was very naturally led to well-ordered sets\, ordinal and cardinal numb
ers and extended the methods of induction well beyond natural numbers to a
ll ordinal numbers.\n\nIn this talk we shall narrate this very fascinating
story of a highly original profound discovery. The talk is aimed mainly t
o undergraduate students of mathematics.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jishnu Ray (CRM\, Université de Montréal)
DTSTART;VALUE=DATE-TIME:20210216T110000Z
DTEND;VALUE=DATE-TIME:20210216T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/10
DESCRIPTION:Title: Selmer groups of elliptic curves and Iwasawa algebras\nby
Jishnu Ray (CRM\, Université de Montréal) as part of Ashoka University m
athematics seminars\n\n\nAbstract\nThe Selmer group of an elliptic curve o
ver a number field encodes several arithmetic data of the curve providing
a p-adic approach to the Birch and Swinnerton Dyer\, connecting it with th
e p-adic L-function via the Iwasawa main conjecture. Under suitable extens
ions of the number field\, the dual Selmer group becomes a module over the
Iwasawa algebra of a certain compact p-adic Lie group over Z_p (the ring
of p-adic integers)\, which is a completed group algebra.\nIn this talk\,
we give an explicit ring-theoretic presentation\, by generators and relati
ons\, of Iwasawa algebras and explore the structure of Selmer groups over
non-commutative Lie extensions.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rishideep Roy (IIM\, Bangalore)
DTSTART;VALUE=DATE-TIME:20210316T110000Z
DTEND;VALUE=DATE-TIME:20210316T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/11
DESCRIPTION:Title: Multinomial data with randomly varying probabilities\nby R
ishideep Roy (IIM\, Bangalore) as part of Ashoka University mathematics se
minars\n\n\nAbstract\nWe consider a sequence of multinomial data\, with mu
ltiple classes for each trial. We assume that the probabilities associated
with these classes vary randomly over time. We show that under suitably c
hosen prior distribution on these probabilities\, there is posterior consi
stency. We further consider an application of this method in calling elect
ions\, with voting data coming in multiple rounds.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aditi Dandapani (Ecole polytechnique)
DTSTART;VALUE=DATE-TIME:20210305T043000Z
DTEND;VALUE=DATE-TIME:20210305T053000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/12
DESCRIPTION:Title: From Quadratic Hawkes Processes to Super Heston Rough Volatili
ty\nby Aditi Dandapani (Ecole polytechnique) as part of Ashoka Univers
ity mathematics seminars\n\nAbstract: TBA\n\nUsing microscopic price model
s based on Hawkes processes\, it has been shown that under some no-arbitra
ge condition\, the high degree of endogeneity of markets together with the
phenomenon of metaorders splitting generate rough Heston-type volatility
at the macroscopic scale. One additional impor- tant feature of financial
dynamics\, at the heart of several influential works in econophysics\, is
the so-called feedback or Zumbach effect. This essentially means that past
trends in returns convey significant information on future volatility. A
natural way to reproduce this property in microstructure mod- eling is to
use quadratic versions of Hawkes processes. We show that after suitable re
scaling\, the long term limits of these processes are refined versions of
rough Heston models where the volatility coefficient is enhanced compared
to the square root characterizing Heston-type dynamics. Furthermore the Zu
mbach effect remains explicit in these limiting rough volatility models.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shanta Laishram (ISI\, Delhi)
DTSTART;VALUE=DATE-TIME:20210413T110000Z
DTEND;VALUE=DATE-TIME:20210413T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/13
DESCRIPTION:Title: On a Conjecture of Erdos on Squares in Arithmetic Progression<
/a>\nby Shanta Laishram (ISI\, Delhi) as part of Ashoka University mathema
tics seminars\n\n\nAbstract\nA remarkable result of Erdos and Selfridge st
ates that a product of a two or more consecutive integers is never a perfe
ct power. Erdos conjectured that if a product of $k$ consecutive terms of
an arithmetic progression is a perfect power\, then $k$ is bounded explici
tly. In this talk\, I will give an overview of the problem with emphasis o
n the squares case and present some new results and related problems.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rajendra Bhatia (Ashoka University)
DTSTART;VALUE=DATE-TIME:20210420T110000Z
DTEND;VALUE=DATE-TIME:20210420T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/14
DESCRIPTION:Title: On Loewner Matrices\nby Rajendra Bhatia (Ashoka University
) as part of Ashoka University mathematics seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:C. S. Rajan (School of Mathematics\, TIFR)
DTSTART;VALUE=DATE-TIME:20210831T110000Z
DTEND;VALUE=DATE-TIME:20210831T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/16
DESCRIPTION:Title: From Clay tablets to Clay Prize: Journey of the local-global
principle in number theory.\nby C. S. Rajan (School of Mathematics\, T
IFR) as part of Ashoka University mathematics seminars\n\n\nAbstract\nExam
ples of Pythagorean triplets like \n$3^2+4^2=5^2\, ~5^2+12^2=13^2$\, etc.
\nwere known to ancient Sumerians. Starting with the theorem of Pythagora
s and \na beautiful proof attributed to Baudhayana (200 years before Pytha
goras)\, we will \ndescribe the general formula to get all Pythagorean tri
plets.\n\nWe will next discuss how to solve more general quadratic equatio
ns using geometry\, making \nuse of stereographic projections. We will als
o relate it to the famous $t=tan(\\theta/2)$ \nsubstitution used in integr
ating trignometric functions. \n\nThis leads us to a theorem of Legendre a
nd the beginnings of the local-global principle in number theory. We concl
ude by stating some open questions. \n\nThe talk should be accessible to s
tudents.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amritanshu Prasad (IMSc\, Chennai)
DTSTART;VALUE=DATE-TIME:20210914T110000Z
DTEND;VALUE=DATE-TIME:20210914T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/17
DESCRIPTION:Title: Generating Functions Associated to Species of Structures\n
by Amritanshu Prasad (IMSc\, Chennai) as part of Ashoka University mathema
tics seminars\n\n\nAbstract\nSpecies of structures were introduced by Andr
é Joyal and his group in\nQuébec in the 1980s. They provide a way of org
anizing classes of labeled\ncombinatorial objects that elevates the art of
studying their generating\nfunctions to a science.\n\nCombinatorial relat
ionships realized bijectively among such classes are\ntransformed into fun
ctional relationships of their generating functions.\nFor example\, from t
he combinatorial interpretation of a set partition as a\nset of non-empty
sets\, the exponential generating function for Bell\nnumbers exp(exp(z)-1)
becomes blindingly clear\; exp(z) is the generating\nfunction of sets\, a
nd exp(z)-1 that of non-empty ones.\n\nI will discuss species of structure
s and some generating functions that\nare associated to them. I will expla
in how algebraic operations on\ngenerating functions can be seen to arise
from set-theoretic operations on\nspecies. I will introduce the Frobenius
characteristic generating\nfunction of a species of structures\, which is
a simple variation of the\ncycle index generating function\, landing us in
the world of symmetric\npolynomials.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rajeeva Karandikar (Chennai Mathematical Institute)
DTSTART;VALUE=DATE-TIME:20210928T110000Z
DTEND;VALUE=DATE-TIME:20210928T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/18
DESCRIPTION:Title: Power and Limitations of Opinion Polls\nby Rajeeva Karandi
kar (Chennai Mathematical Institute) as part of Ashoka University mathemat
ics seminars\n\n\nAbstract\nHow can obtaining the opinion of\, say 20000 v
oters be sufficient to predict the outcome of an election in a country wit
h over 80 million voters?\n\nDo the opinion polls conducted say a month be
fore the election accurately predict what is to happen on the voting day?\
n\nI will answer these questions and share my own experiences with opinion
polls and exit polls in India over the last 2 decades.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:R B Bapat (ISI\, Delhi)
DTSTART;VALUE=DATE-TIME:20211019T110000Z
DTEND;VALUE=DATE-TIME:20211019T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/19
DESCRIPTION:Title: A glimpse of spectral graph theory\nby R B Bapat (ISI\, De
lhi) as part of Ashoka University mathematics seminars\n\n\nAbstract\nSpec
tral graph theory is the study of the interplay\nbetween the spectrum of t
he adjacency matrix of a graph and properties\nof the graph. We present a
selection of results from spectral graph\ntheory. These include a result o
n non-isomorphic cospectral trees\, a\nproblem on decomposing the complete
graph on ten vertices by copies of\nthe Petersen graph and a characteriza
tion of nonsingular trees. We\nconclude by presenting a path-breaking rece
nt proof of the sensitivity\nconjecture by Huang.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A. Raghuram (Fordham College)
DTSTART;VALUE=DATE-TIME:20211102T110000Z
DTEND;VALUE=DATE-TIME:20211102T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/20
DESCRIPTION:by A. Raghuram (Fordham College) as part of Ashoka University
mathematics seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Agnid Banerjee (TIFR CAM\, Bangalore)
DTSTART;VALUE=DATE-TIME:20211116T110000Z
DTEND;VALUE=DATE-TIME:20211116T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/21
DESCRIPTION:by Agnid Banerjee (TIFR CAM\, Bangalore) as part of Ashoka Uni
versity mathematics seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Manjil Saikia (Cardiff)
DTSTART;VALUE=DATE-TIME:20211123T110000Z
DTEND;VALUE=DATE-TIME:20211123T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/22
DESCRIPTION:Title: Parity Biases in Partitions and Restricted Partitions\nby
Manjil Saikia (Cardiff) as part of Ashoka University mathematics seminars\
n\n\nAbstract\nRecently\, Kim\, Kim & Lovejoy (2020) proved that partition
s with more odd parts than even parts are more in number than partitions w
ith more even parts than odd parts (for all n>2). This\, they called as pa
rity bias in integer partitions. We prove that this is true even if we res
trict the partitions under consideration to that of distinct parts partiti
ons (for all n>19). We also show that parity bias is reversed if we restri
ct the smallest part that can occur in a partition to 2 (for all n>7). Som
e other results of similar flavour can be proved for partitions where we r
estrict the set of allowed parts. All of these results are proved combinat
orially. Using analytical techniques some of the inequalities can be furth
er strengthened\, we will discuss this as well as some related results for
other classes of partitions\, if time permits. This talk is based on join
t work with K. Banerjee\, S. Bhattacharjee\, M. G. Dastidar & P. J. Mahant
a as well as on a work in progress with P. J. Mahanta & A. Sarma.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Antar Bandopadhyay (ISI\, Delhi)
DTSTART;VALUE=DATE-TIME:20210118T110000Z
DTEND;VALUE=DATE-TIME:20210118T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/23
DESCRIPTION:by Antar Bandopadhyay (ISI\, Delhi) as part of Ashoka Universi
ty mathematics seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Antar Bandopadhyay (ISI\, Delhi)
DTSTART;VALUE=DATE-TIME:20220118T110000Z
DTEND;VALUE=DATE-TIME:20220118T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/24
DESCRIPTION:by Antar Bandopadhyay (ISI\, Delhi) as part of Ashoka Universi
ty mathematics seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:U. K. Anandavardhanan (IIT\, Bombay)
DTSTART;VALUE=DATE-TIME:20220301T110000Z
DTEND;VALUE=DATE-TIME:20220301T120000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/25
DESCRIPTION:Title: Orthogonality of invariant vectors\nby U. K. Anandavardhan
an (IIT\, Bombay) as part of Ashoka University mathematics seminars\n\n\nA
bstract\nThis talk is about finite groups and their representation theory.
Given a group G and two Gelfand subgroups $H$ and $K$ of $G$\, associated
to an irreducible representation $\\pi$ of $G$\, there is a notion of $H$
and $K$ being correlated with respect to $\\pi \\in G$. This notion was d
efined by Benedict Gross in 1991. Towards the end of the talk\, we'll pres
ent some recent results regarding this theme (which are joint with Arindam
Jana).\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/25/
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BEGIN:VEVENT
SUMMARY:Naina Praveen (Ashoka University)
DTSTART;VALUE=DATE-TIME:20220322T113000Z
DTEND;VALUE=DATE-TIME:20220322T123000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003100Z
UID:ashokamathseminars/26
DESCRIPTION:Title: Restricted Invertibility of Continuous Matrix Functions\nb
y Naina Praveen (Ashoka University) as part of Ashoka University mathemati
cs seminars\n\n\nAbstract\nIn 1987\, Bourgain and Tzafriri proved the Rest
ricted Invertibility Theorem\, which roughly states that any matrix with c
olumns of unit length and bounded operator norm has a large coordinate sub
space on which it is well-invertible. This bound happens to be optimal upt
o universal constants. We prove that the Restricted Invertibility Theorem
can further be extended from matrices to continuous matrix functions satis
fying similar hypotheses.\n
LOCATION:https://researchseminars.org/talk/ashokamathseminars/26/
END:VEVENT
END:VCALENDAR