1. Spectral Theory of Automorphic Forms on MONDAYS 11:30am -- 1:00pm
Date, Time, Venue: Every Monday starting 12th August,11:30am-1:00pm,Room 215
Hosts : Keshav Aggarwal and Kummari Mallesham
Abstract : Attached.
https://www.math.iitb.ac.in/~seminar/nt/AnNT_seminar_2024_Fall_revised.pdf
Speaker: Ojas Sahasrabudhe (Department of Mathematics, IIT Bombay)
Date, Time, Venue : 2:30 p.m. on Monday, August 12, Ramanujan Hall
Title: Continued Fractions and Diophantine Approximations
Commutative algebra seminar:
Time, Day, Date, Venue : 12:30 pm, Tuesday 13 August, Room 215
Speaker: Aryaman Maithani
Affiliation: University of Utah
Host. A. Hariharan
Title: Invariant Theory of Commutative Rings
Abstract: Abstract: Given a group G acting on a ring R, we consider R^G,
the subring of elements fixed by G. It's a natural question to ask what
"good" properties of R are inherited by R^G. Some of these questions were
considered by Hilbert and Noether, and were a motivation to study
noetherian rings. We will discuss some of these results.
This talk should be accessible to someone who's done a first course in
module theory
3. Name of the Seminar: Analysis Seminar
Time, Day and Date: 2:30 p.m., Tuesday, 13 August 2024.
Venue: Ramanujan hall
Host: Anandavardhanan
Speaker: Debanjan Nandi
Affiliation: IISc Bangalore
Title: Martin boundaries of groups hyperbolic to nilpotent subgroups
Abstract: The Martin boundary of a simple random walk on a finitely
generated group hyperbolic relative to nilpotent subgroups is not known in
general. For any such group one can however construct a 'natural' class of
random walks whose Martin boundary (probability-theoretic object) is
homeomorphic to the Bowditch boundary of the group (geometric object), and
the existence of such random walks characterizes these groups among
relatively hyperbolic groups. This is the main result I will discuss.
In the talk I plan to emphasize on giving an overview of this problem,
relations to more classical objects like the Brownian motion in manifolds
of negative curvature, and spend some time recalling the definitions of the
above class of groups, and the Martin boundary as a probabilistic and
potential-theoretic notion. I would also like to talk about further
questions that naturally arise, if time permits.
Time, Day & Date: 4 pm, Tuesday, August 13, 2024
Venue: Ramanujan Hall
Host: Shripad M. Garge
Speaker: Dibyendu Biswas.
Title: Borel subgroups in reductive groups - II
Abstract: We study the construction of Borel subgroups in reductive groups through the root groups corresponding to the simple roots corresponding to B.
4. Representation theory of Automorphic forms- Part 1 (Tate's Thesis)
Date, Time, Venue: Wednesday 14th August, 11:30am - 1:00pm, Room 215
Abstract: Attached.
https://www.math.iitb.ac.in/~seminar/nt/AnNT_seminar_2024_Fall_revised.pdf
Annual Progress Seminar
Wednesday, 14 August 2024, 3:30-4:30pm
Venue: Room 105, Department of Mathematics
Host: Ananthnarayan H.
Speaker: Omkar Javadekar
Affiliation: IIT Bombay
Title: Linear quotients of connected ideals of graphs and some results
on purity of extremal rays of Betti cones.
Colloquium :
Speaker: Keshav Aggarwal, IIT Bombay
Date, Time, Venue : 14th August, 4:00 pm in Ramnujan Hall
Title: Subconvexity bound problem for L-functions
Abstract: Study of L-functions is one of the central themes of modern
number theory. The problem of bounding growth rate of L-functions is
classical and goes back to Weyl (1916), who proved the first non-trivial
result for the Riemann zeta function. This is known as the subconvexity
bound problem and has various applications, apart from being of
independent interest. We will talk about the history of the problem, give
some applications, and present some classical analytic tools like the
circle method used to study the problem.
Name of the Seminar: Pre-synopsis Seminar
Time, Day and Date: 3:30 p.m., Friday, 16 August 2024.
=========================
Venue: Ramanujan hall
Host: Anandavardhanan
Speaker: Saad Qadri
Affiliation: IIT Bombay
Title: Ext branching laws for the general linear group
Abstract: We study Ext branching laws for Arthur type representations of the p-adic general linear group. We give a precise condition predicting Ext non-vanishing in some cases.
Time, Day & Date: 4 pm, Friday, August 16, 2024
Venue: Room 215
Host: Dipendra Prasad.
Speaker: Deep Makadiya
Title: Nilpotent conjugacy classes
Abstract: We continue the analysis of nilpotent conjugacy classes from the book of Collingwood and McGovern.