BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Prof. Ravi S. Kulkarni (Bhaskaracharya Pratishthana\, Pune)
DTSTART:20210901T113000Z
DTEND:20210901T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/1
DESCRIPTION:Title: Topological Underpinnings of the Modular Group\nby Prof. Ravi S. Ku
lkarni (Bhaskaracharya Pratishthana\, Pune) as part of Trimester Programs
on Triangle Groups\, Belyi Uniformization and Modularity at BP\, Pune\, In
dia.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Prof John Parker (Durham University)
DTSTART:20210907T120000Z
DTEND:20210907T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/2
DESCRIPTION:Title: Elliptic Functions and the Modular Group\nby Prof John Parker (Durh
am University) as part of Trimester Programs on Triangle Groups\, Belyi Un
iformization and Modularity at BP\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Prof. Alexnder Mednykh (Sobolev Institute of Mathematics\, Novosib
irsk.)
DTSTART:20210907T103000Z
DTEND:20210907T113000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/3
DESCRIPTION:Title: Graphs as Riemann surfaces: Hurwitz type bound and Hyperelliptic Graphs
\nby Prof. Alexnder Mednykh (Sobolev Institute of Mathematics\, Novosi
birsk.) as part of Trimester Programs on Triangle Groups\, Belyi Uniformiz
ation and Modularity at BP\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Prof. T. N. Venkatramana (Tata Institute of Fundamental Research\,
Mumbai)
DTSTART:20210908T113000Z
DTEND:20210908T123000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/4
DESCRIPTION:Title: Monodromy of Gauss Hypergeometric Functions\nby Prof. T. N. Venkatr
amana (Tata Institute of Fundamental Research\, Mumbai) as part of Trimest
er Programs on Triangle Groups\, Belyi Uniformization and Modularity at BP
\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Mednykh (Sobolev Institute of Mathematics\, Novosibirsk.
)
DTSTART:20210914T103000Z
DTEND:20210914T113000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/5
DESCRIPTION:Title: Graphs as Riemann surfaces: Cyclic group action\nby Alexander Medn
ykh (Sobolev Institute of Mathematics\, Novosibirsk.) as part of Trimester
Programs on Triangle Groups\, Belyi Uniformization and Modularity at BP\,
Pune\, India.\n\n\nAbstract\nAbstract of this talk can be accessed here.\
nhttps://www.google.com/url?q=https%3A%2F%2Fwww.dropbox.com%2Fs%2F7popdo1d
7vnpedm%2FAbstract.pdf%3Fdl%3D0&sa=D&sntz=1&usg=AFQjCNHMmsijMYpif0eBBjxWeH
O6H749ag\n
LOCATION:https://researchseminars.org/talk/BPseminars/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Parker (Durham University)
DTSTART:20210914T120000Z
DTEND:20210914T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/6
DESCRIPTION:Title: The Hyperbolic Plane\, Isometries and Triangle Groups\nby John Park
er (Durham University) as part of Trimester Programs on Triangle Groups\,
Belyi Uniformization and Modularity at BP\, Pune\, India.\n\n\nAbstract\nI
n this talk I will give a basic introduction to several models of the hype
rbolic plane and the corresponding matrix representations of its isometrie
s. My main goal will be to show how triangle groups can be represented in
the different models and how to pass between them.\n
LOCATION:https://researchseminars.org/talk/BPseminars/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Mednykh (Sobolev Institute of Mathematics\, Novosibirsk.
)
DTSTART:20210921T103000Z
DTEND:20210921T113000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/7
DESCRIPTION:Title: Enumeration of Maps and Coverings\nby Alexander Mednykh (Sobolev In
stitute of Mathematics\, Novosibirsk.) as part of Trimester Programs on Tr
iangle Groups\, Belyi Uniformization and Modularity at BP\, Pune\, India.\
n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Mednykh (Sobolev Institute of Mathematics\, Novosibirsk.
)
DTSTART:20210921T120000Z
DTEND:20210921T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/8
DESCRIPTION:Title: The Ten Euclidean Three-Dimensional Forms and Their Coverings.\nby
Alexander Mednykh (Sobolev Institute of Mathematics\, Novosibirsk.) as par
t of Trimester Programs on Triangle Groups\, Belyi Uniformization and Modu
larity at BP\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sudarshan Gurjar (IIT Bombay\, Mumbai.)
DTSTART:20210921T133000Z
DTEND:20210921T143000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/9
DESCRIPTION:Title: Divisors and Line bundles on Compact Riemann Surfaces\nby Sudarshan
Gurjar (IIT Bombay\, Mumbai.) as part of Trimester Programs on Triangle G
roups\, Belyi Uniformization and Modularity at BP\, Pune\, India.\n\nAbstr
act: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sudarshan Gurjar (IIT Bombay\, Mumbai.)
DTSTART:20210928T120000Z
DTEND:20210928T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/10
DESCRIPTION:Title: Riemann-Roch Theorem for Compact Riemann Surfaces\nby Sudarshan Gu
rjar (IIT Bombay\, Mumbai.) as part of Trimester Programs on Triangle Grou
ps\, Belyi Uniformization and Modularity at BP\, Pune\, India.\n\nAbstract
: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Neelima Borade (Princeton University)
DTSTART:20210928T133000Z
DTEND:20210928T143000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/11
DESCRIPTION:Title: Hyperbolic Tessellation\nby Neelima Borade (Princeton University)
as part of Trimester Programs on Triangle Groups\, Belyi Uniformization an
d Modularity at BP\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mihir Sheth (I.I.Sc. Bangalore.)
DTSTART:20211005T103000Z
DTEND:20211005T113000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/12
DESCRIPTION:Title: Modular curves: Analytic and Algebraic Aspects\nby Mihir Sheth (I.
I.Sc. Bangalore.) as part of Trimester Programs on Triangle Groups\, Belyi
Uniformization and Modularity at BP\, Pune\, India.\n\n\nAbstract\nI will
begin by explaining how to compactify quotients of the upper half plane b
y congruence subgroups of the modular group. The resulting spaces are comp
act Riemann surfaces known as modular curves. I will then focus on the mod
ular curve X_0(N) of level N and discuss its canonical model over rational
numbers.\n
LOCATION:https://researchseminars.org/talk/BPseminars/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gianluca Faraco (Max Planck Institute\, Bonn.)
DTSTART:20211005T120000Z
DTEND:20211005T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/13
DESCRIPTION:Title: Regular Tessellations\nby Gianluca Faraco (Max Planck Institute\,
Bonn.) as part of Trimester Programs on Triangle Groups\, Belyi Uniformiza
tion and Modularity at BP\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bram Petri (University of Paris 6 Sorbonne)
DTSTART:20211012T103000Z
DTEND:20211012T113000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/14
DESCRIPTION:Title: Arithmetic Fuchsian Groups Through Quaternion Algebras\nby Bram Pe
tri (University of Paris 6 Sorbonne) as part of Trimester Programs on Tria
ngle Groups\, Belyi Uniformization and Modularity at BP\, Pune\, India.\n\
n\nAbstract\nIn this talk I will describe how to construct arithmetic Fuch
sian groups out of quaternion algebras and how to derive geometric propert
ies of the corresponding surfaces from the underlying algebra.\n
LOCATION:https://researchseminars.org/talk/BPseminars/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bram Petri (University of Paris 6 Sorbonne)
DTSTART:20211012T120000Z
DTEND:20211012T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/15
DESCRIPTION:Title: The Klein quartic.\nby Bram Petri (University of Paris 6 Sorbonne)
as part of Trimester Programs on Triangle Groups\, Belyi Uniformization a
nd Modularity at BP\, Pune\, India.\n\n\nAbstract\nThis talk will be about
the Klein quartic\, an example of many of the phenomena studied in this
program. It's a Belyi surface\, it corresponds to a finite index subgroup
of the (2\,3\,7)-triangle group (and hence is arithmetic) and it can be ex
plicitly written down as an algebraic curve. In the first of these lecture
s\, I will discuss the various descriptions of this surface and link them
up.\n
LOCATION:https://researchseminars.org/talk/BPseminars/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Parker (Durham University)
DTSTART:20211019T103000Z
DTEND:20211019T113000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/16
DESCRIPTION:Title: Arithmeticity and Takeuchi's Theorem\nby John Parker (Durham Unive
rsity) as part of Trimester Programs on Triangle Groups\, Belyi Uniformiza
tion and Modularity at BP\, Pune\, India.\n\n\nAbstract\nI will discuss th
e definition of an arithmetic group using quadratic forms (following Vinbe
rg) and I will make this explicit in the case of triangle groups. \nAs a c
onsequence I will discuss Takeuchi's theorem. I will also try to explain t
he connection between the quadratic form method and the quaternion algebra
method\, as used by Takeuchi.\n
LOCATION:https://researchseminars.org/talk/BPseminars/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yifan Yang (National Taiwan University)
DTSTART:20211019T120000Z
DTEND:20211019T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/17
DESCRIPTION:Title: Hypergeometric Functions as Modular forms on Shimura Curves.\nby Y
ifan Yang (National Taiwan University) as part of Trimester Programs on Tr
iangle Groups\, Belyi Uniformization and Modularity at BP\, Pune\, India.\
n\n\nAbstract\nShimura curves are generalizations of classical modular cur
ves. Because of the lack of cusps on Shimura curves\, there have been very
few explicit methods for them. In this talk\, \nwe will explain how we mi
ght use hypergeometric functions to express modular forms on a Shimura cur
ve when the Shimura curve has genus 0 and three elliptic points.\n
LOCATION:https://researchseminars.org/talk/BPseminars/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pete Clark (University of Georgia)
DTSTART:20211026T120000Z
DTEND:20211026T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/18
DESCRIPTION:Title: Triangular Modular Curves-I\nby Pete Clark (University of Georgia)
as part of Trimester Programs on Triangle Groups\, Belyi Uniformization a
nd Modularity at BP\, Pune\, India.\n\n\nAbstract\nIn this talk we will di
scuss Belyi-Wolfart curves\, namely compact Riemann surfaces X of genus at
least 2 such that X -> X/Aut(X) is a Belyi map. For each g \\geq 2 this
is yields a finite\, nonempty set of isomorphism classes algebraic curves\
, and of course each is defined over Q-bar\, so it is interesting to ask f
or the fields of moduli of such curves. \n\nThese curves include as speci
al cases several classical families: the Fermat curves\, the Hurwitz curve
s and the classical modular curves X(N) (for N \\geq 7). The latter family
motivates us to introduce a family of Belyi-Wolfart curves with Galois gr
oup PSL_2(F_q) or PGL_2(F_q) studied by the speaker and John Voight.\n
LOCATION:https://researchseminars.org/talk/BPseminars/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pete Clark (University of Georgia)
DTSTART:20211026T133000Z
DTEND:20211026T143000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/19
DESCRIPTION:Title: Triangular Modular Curves-II\nby Pete Clark (University of Georgia
) as part of Trimester Programs on Triangle Groups\, Belyi Uniformization
and Modularity at BP\, Pune\, India.\n\n\nAbstract\nIn this talk we define
and study the algebraic curves mentioned above. As Riemann surfaces they
are uniformized by principal congruence subgroups of hyperbolic triangle
groups. As such they provide an interesting challenge to the arithmetic/n
on-arithmetic dichotomy for Riemann surfaces: each of these Riemann surfac
es is naturally associated to a quaternion algebra over a totally real num
ber field\, but nevertheless all but finitely many of them are non-arithme
tic. After recalling what this means\, we attempt to show that this fami
ly of curves is still arithmetically interesting: in particular\, they all
have field of moduli contained in a quadratic extension of an abelian num
ber field.\n
LOCATION:https://researchseminars.org/talk/BPseminars/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anand Deopurkar (Australian National University)
DTSTART:20211102T103000Z
DTEND:20211102T113000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/20
DESCRIPTION:Title: Algebraic Curves and Belyi's theorem\nby Anand Deopurkar (Australi
an National University) as part of Trimester Programs on Triangle Groups\,
Belyi Uniformization and Modularity at BP\, Pune\, India.\n\nAbstract: TB
A\n
LOCATION:https://researchseminars.org/talk/BPseminars/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claire Burrin. (ETH Zurich.)
DTSTART:20211109T120000Z
DTEND:20211109T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/21
DESCRIPTION:Title: Belyi's Theorem and Grothendieck dessin d'enfant\nby Claire Burrin
. (ETH Zurich.) as part of Trimester Programs on Triangle Groups\, Belyi U
niformization and Modularity at BP\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Parker (Durham University)
DTSTART:20211116T103000Z
DTEND:20211116T113000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/22
DESCRIPTION:Title: Fundamental domains and Poincar\\'e's polygon theorem"\nby John Pa
rker (Durham University) as part of Trimester Programs on Triangle Groups\
, Belyi Uniformization and Modularity at BP\, Pune\, India.\n\nAbstract: T
BA\n
LOCATION:https://researchseminars.org/talk/BPseminars/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hartmut Monien (Bethe Center for Theoretical Physics\, Bonn Univer
sity)
DTSTART:20211123T120000Z
DTEND:20211123T130000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/23
DESCRIPTION:Title: Calculation of Three-point Branched Cover of Projective Line\nby H
artmut Monien (Bethe Center for Theoretical Physics\, Bonn University) as
part of Trimester Programs on Triangle Groups\, Belyi Uniformization and M
odularity at BP\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Samuel Schiavone (MIT\, Massachusetts)
DTSTART:20211123T133000Z
DTEND:20211123T143000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/24
DESCRIPTION:Title: Computing a database of Belyi maps\nby Samuel Schiavone (MIT\, Mas
sachusetts) as part of Trimester Programs on Triangle Groups\, Belyi Unifo
rmization and Modularity at BP\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leila Schneps (CNRS France.)
DTSTART:20211130T103000Z
DTEND:20211130T113000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/25
DESCRIPTION:Title: Grothendieck's path from Topology to Arithmetic\nby Leila Schneps
(CNRS France.) as part of Trimester Programs on Triangle Groups\, Belyi Un
iformization and Modularity at BP\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Voight (Dartmouth College\, Hanover.)
DTSTART:20211130T133000Z
DTEND:20211130T143000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/26
DESCRIPTION:Title: Some Problems and Questions.\nby John Voight (Dartmouth College\,
Hanover.) as part of Trimester Programs on Triangle Groups\, Belyi Uniform
ization and Modularity at BP\, Pune\, India.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chaitanya Ambi (CMI\, Chennai)
DTSTART:20211207T113000Z
DTEND:20211207T123000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/27
DESCRIPTION:Title: Farey Symbols and Finite Index Subgroups of Modular Groups\nby Cha
itanya Ambi (CMI\, Chennai) as part of Trimester Programs on Triangle Grou
ps\, Belyi Uniformization and Modularity at BP\, Pune\, India.\n\nAbstract
: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Juanita Duque Rosero (Darthmouth College\, Hanover)
DTSTART:20211207T133000Z
DTEND:20211207T143000Z
DTSTAMP:20260422T225925Z
UID:BPseminars/28
DESCRIPTION:Title: Enumeration of Low Genus Triangular Modular Curves\nby Juanita Duq
ue Rosero (Darthmouth College\, Hanover) as part of Trimester Programs on
Triangle Groups\, Belyi Uniformization and Modularity at BP\, Pune\, India
.\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPseminars/28/
END:VEVENT
END:VCALENDAR