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BEGIN:VEVENT
SUMMARY:Àngel Joaniquet Tukiainen (Zitro)
DTSTART;VALUE=DATE-TIME:20201209T110000Z
DTEND;VALUE=DATE-TIME:20201209T120000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/1
DESCRIPTION:Title: Re
lationship between victorian eugenecists and slot machine free-game - Bran
ching Processes\nby Àngel Joaniquet Tukiainen (Zitro) as part of Barc
elona Mathematics Informal Seminar (SIMBa)\n\n\nAbstract\nOriginaly\, the
first branching processes where studied to ensure the survival of surnames
on Victorian\nEra aristocrat familes. These use is actually futile as ins
uficient data\, changing laws or simply name\nchanges (ask Victoria's gran
dson\, Edward) make this idealization irrelevant. Since then\, branching\n
processes have found uses beyond surnames\, like studing general reporduct
ion\, or neutron counts on\nnuclear reactions.\nIn this talk we will prese
nt multi-type branching proceses and how they can be used to model and\nco
ntrol populations of germs (or how to know if a slot machine is good).\n
LOCATION:https://researchseminars.org/talk/SIMBa/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:María Cumplido Cabello (Universidad Complutense de Madrid)
DTSTART;VALUE=DATE-TIME:20201216T110000Z
DTEND;VALUE=DATE-TIME:20201216T120000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/2
DESCRIPTION:Title: St
rand diagrams and generalised braided Thompson's groups\nby María Cum
plido Cabello (Universidad Complutense de Madrid) as part of Barcelona Mat
hematics Informal Seminar (SIMBa)\n\n\nAbstract\nThis is a joint work with
Julio Aroca. There is a generalisation of Thompson's groups constructed f
rom the Thompson's group $V$ and Artin's braid group. The braided Thompson
's group $BV_2$ was independently introduced by Patrick Dehornoy and Matt
hew G. Brin in 2006. In this talk we will explain how two extend this conc
ept to a much bigger family of groups by using infinite braids: Infinitely
braided Thompson's groups $BV_n(H)$\, where $H$ is a subgroup of the brai
d group on $n$ strands. We will prove that they are indeed groups by using
braided diagrams and rewriting systems. We will also see that they are fi
nitely generated if $H$ is finitely generated and give an explicit set of
generators for $BV_n(H)$ and some other cases. Slides will be in English a
nd the talk will be given in Spanish.\n
LOCATION:https://researchseminars.org/talk/SIMBa/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rosalba García Millán (University of Cambridge)
DTSTART;VALUE=DATE-TIME:20210113T110000Z
DTEND;VALUE=DATE-TIME:20210113T120000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/3
DESCRIPTION:Title: Ti
me-dependent branching processes: a model of oscillating neuronal avalanch
es\nby Rosalba García Millán (University of Cambridge) as part of Ba
rcelona Mathematics Informal Seminar (SIMBa)\n\n\nAbstract\nRecently\, neu
ronal avalanches have been observed to display oscillations\, a phenomenon
regarded as the co-existence of a scale-free behaviour (the avalanches cl
ose to criticality) and scale-dependent dynamics (the oscillations) [1]. O
rdinary continuous-time branching processes with constant extinction and b
ranching rates are commonly used as models of neuronal activity\, yet they
lack any such time-dependence. In my talk\, I will show how we extended a
basic branching process by allowing the extinction rate to oscillate in t
ime as a new model to describe cortical dynamics [2]. I will discuss about
some observables\, such as the avalanche shape\, that we calculated in cl
osed form by means of a perturbative field theory\, and compared to availa
ble experimental results.\n\n[1] Miller\, Yu & Plenz\, Sci. Rep. 9\, 16403
(2019).\n\n[2] Pausch\, Garcia-Millan & Pruessner\, Sci. Rep. 10\, 13678
(2020).\n
LOCATION:https://researchseminars.org/talk/SIMBa/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Praderio Bova (Lancaster University)
DTSTART;VALUE=DATE-TIME:20210127T110000Z
DTEND;VALUE=DATE-TIME:20210127T120000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/4
DESCRIPTION:Title: Pe
rsistent homology and barcode distance\nby Marco Praderio Bova (Lancas
ter University) as part of Barcelona Mathematics Informal Seminar (SIMBa)\
n\n\nAbstract\nPersistent homology is an algebraic topology tool that has
gained a lot of relevance in topological data analysis during the past few
years. During this lecture we will introduce this concept from a categori
cal point of view and use category theory techniques in order to proove wh
at is known as stability theorem.\n
LOCATION:https://researchseminars.org/talk/SIMBa/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jose Brox (Centre for Mathematics\, University of Coimbra)
DTSTART;VALUE=DATE-TIME:20210210T110000Z
DTEND;VALUE=DATE-TIME:20210210T120000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/5
DESCRIPTION:Title: Id
entities in prime rings\nby Jose Brox (Centre for Mathematics\, Univer
sity of Coimbra) as part of Barcelona Mathematics Informal Seminar (SIMBa)
\n\n\nAbstract\nGiven a ring\, a generalized polynomial identity (GPI) is
a polynomial\nidentity in which the coefficients can be taken from the rin
g. Prime rings\nare a class of rings very well suited to manage problems r
elated to\nidentities\, as for example those coming from Herstein's theory
\, which is\nthe study of nonassociative objects and structures arising fr
om\nassociative rings. After a motivating introduction to prime rings\, wi
th\nsome examples from Herstein's theory\, I will show the usefulness of\n
Martindale's lemma\, the key tool for solving GPIs in one variable in prim
e\nrings\, and I will explain a new promising approach to solve them based
on\nelementary algebraic geometry which avoids some shortcomings of the l
emma\,\nallowing to find the optimal solutions.\n
LOCATION:https://researchseminars.org/talk/SIMBa/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fabio Ferri (University of Exeter)
DTSTART;VALUE=DATE-TIME:20210310T110000Z
DTEND;VALUE=DATE-TIME:20210310T120000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/6
DESCRIPTION:Title: Ho
w far is an extension of $p$-adic fields from having a normal integral bas
is?\nby Fabio Ferri (University of Exeter) as part of Barcelona Mathem
atics Informal Seminar (SIMBa)\n\n\nAbstract\nLet $L/K$ be a Galois extens
ion of $p$-adic \nfields with Galois group $G$. Denote by $K[G]$ the group
ring $\\{\\sum_{g\\in G}a_gg\\\,\\colon\\\,a_g\\in K\\}$\; the classical
normal basis theorem shows that $L$ is a free $K[G]$-module of rank $1$\,
that is\, there exists an element $\\alpha\\inL$ such that\n$\\{g(\\alpha)
\\}_{g\\in G}$ is a basis of $L$ as a $K$-vector space. It is natural to a
sk whether $\\mathcal{O}_L$ is also a free $\\mathcal{O}_K[G]$-module of r
ank $1$\, where $\\mathcal{O}_L$ and $\\mathcal{O}_K$ denote the rings of
integers of $L$ and $K$\, respectively. A theorem of Noether tells us that
this is the case if and only if the extension is (at most) tamely rami\ne
d. When $L/K$ is wildly rami\ned\, we can still note that there always exi
sts a free $\\mathcal{O}_K[G]$-submodule of $\\mathcal{O}L$ with \nfinite
index. The purpose of this talk is to study the minimal such index\, i.e.
the quantity $m(L/K) \\coloneqq min{\\alpha\\in\\mathcal{O}_L}[\\mathcal{O
}_L : \\mathcal{O}_K[G]\\alpha]$. We will provide a general bound that onl
y depends on the invariants of the extension\, a complete formula for $m(L
/K)$ when $L/\\mathbb{Q}_p$ is abelian and a complete formula when $L/K$ i
s cyclic of degree $p$. This is joint work with Ilaria Del Corso and David
e Lombardo.\n
LOCATION:https://researchseminars.org/talk/SIMBa/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Damian Dabrowsk (University of Jyväskylä)
DTSTART;VALUE=DATE-TIME:20210324T110000Z
DTEND;VALUE=DATE-TIME:20210324T120000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/7
DESCRIPTION:Title: On
measures\, projections\, and measures of projections\nby Damian Dabro
wsk (University of Jyväskylä) as part of Barcelona Mathematics Informal
Seminar (SIMBa)\n\n\nAbstract\nIn this talk we will look at the following
question: given a subset ofthe plane\, what is the relation between
the size of the set and thesize of its orthogonal projections? To
make the notion of “size” moreprecise\, I will first explain what the
Hausdorff measures and the Haus-dorff dimension are. The talk should be
accessible to anyone who hascompleted a basic calculus course.\n
LOCATION:https://researchseminars.org/talk/SIMBa/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eduard Soto Ballesteros (Universitat de Barcelona)
DTSTART;VALUE=DATE-TIME:20210407T100000Z
DTEND;VALUE=DATE-TIME:20210407T110000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/8
DESCRIPTION:Title: Co
eficients de Fourier al p-èsim intèrval de Ramanujan-Petersson\nby E
duard Soto Ballesteros (Universitat de Barcelona) as part of Barcelona Mat
hematics Informal Seminar (SIMBa)\n\n\nAbstract\nL'expansió de Fourier d'
una forma modular nova de pes 2 i caràcter trivial \nés una sèrie de po
tències amb coeficients enters algebraics en un cos totalment \nreal. Els
coeficients d'índex primer tenen un rol protagonista per motius diversos
. \nLa conjectura de Ramanujan-Petersson\, demostrada por Deligne\, prediu
que el p-èsim \ncoeficient de Fourier d'una forma modular de pes 2 té n
orma en $[ 0\, 2 \\sqrt{p} ]$. \nEn aquesta xerrada discutirem quins cosso
s totalment reals tenen elements primitius \nenters en $[0\, 2 \\sqrt{p}]$
. Aquest treball en colaboración amb Samuele Anni té orígens\nen un est
udi computacional d'una conjetura de Coleman.\n
LOCATION:https://researchseminars.org/talk/SIMBa/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marta Sánchez Pavón (Universidad de Sevilla)
DTSTART;VALUE=DATE-TIME:20210421T100000Z
DTEND;VALUE=DATE-TIME:20210421T110000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/9
DESCRIPTION:Title: En
tering the tower with Iwasawa theory\nby Marta Sánchez Pavón (Univer
sidad de Sevilla) as part of Barcelona Mathematics Informal Seminar (SIMBa
)\n\n\nAbstract\nProving Fermat Last Theorem has been one of the most famo
us math-ematical challenges during the last years. Most importantly\, it
servedas a key starting point for developing deep theories in arithmetic g
e-ometry\; and Iwasawa theory has been one of such. The fundamentalidea
of Iwasawa theory is studying the growth of arithmetic objects(su
ch as the ideal class group of number fields or Selmer groups
ofelliptic curves and abelian varieties) in an infinite tower ofp-adic ex-
tensions. Furthermore\, much of the recent progress in the Birch andSwinn
erton-Dyer conjecture is due to these methods. In this talk\, wepresent a
brief introduction to Iwasawa theory with an eye on ellipticcurves.\n
LOCATION:https://researchseminars.org/talk/SIMBa/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Raffaele Carbone
DTSTART;VALUE=DATE-TIME:20210505T100000Z
DTEND;VALUE=DATE-TIME:20210505T110000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/10
DESCRIPTION:by Raffaele Carbone as part of Barcelona Mathematics Informal
Seminar (SIMBa)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SIMBa/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guillem Garcia Tarrach
DTSTART;VALUE=DATE-TIME:20210519T100000Z
DTEND;VALUE=DATE-TIME:20210519T110000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/11
DESCRIPTION:Title: p
-adic modular forms: why do we care?\nby Guillem Garcia Tarrach as par
t of Barcelona Mathematics Informal Seminar (SIMBa)\n\n\nAbstract\nSince t
heir introduction in the seventies\, p-adic modular forms have become an i
mportant topic in algebraic number theory and have seen many applications
to problems in this area. In this talk I will be explaining some of the mo
tivation for p-adic modular forms and talk about some of the important res
ults in the theory.\n
LOCATION:https://researchseminars.org/talk/SIMBa/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eloi Torrent Juste
DTSTART;VALUE=DATE-TIME:20210602T100000Z
DTEND;VALUE=DATE-TIME:20210602T110000Z
DTSTAMP;VALUE=DATE-TIME:20210514T194406Z
UID:SIMBa/12
DESCRIPTION:by Eloi Torrent Juste as part of Barcelona Mathematics Informa
l Seminar (SIMBa)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SIMBa/12/
END:VEVENT
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