Speaker: Agnid Banerjee

Title: Quantitative uniqueness for parabolic equations with applications

Date, Time, Venue : 30th July (Tuesday) at 11:30 am in Ramanujan Hall

Abstract: I will talk about a new sharp estimate of the order of vanishing
of solutions to parabolic equations with variable coefficients. In case of
real analytic coefficients,  I will then show that an application of such
an estimate  leads to a parabolic generalization of the well known
Donnelly-Fefferman nodal set estimate.  I will also present applications
to new Landis type results in the parabolic setting. This is based on
joint work with Vedansh Arya and Nicola Garofalo.

====================
Algebraic Groups Seminar

Tuesday, July 30, 2024, 4 pm
====================

Venue: Ramanujan Hall

Host: Shripad M. Garge.

Speaker: Dibyendu Biswas

Affiliation: IIT Bombay, Mumbai.

Title: Reductive Groups

Abstract: We start the 8th chapter of Springer's book on connected
reductive groups.

Speaker : Aranya Lahiri

Title:  Dagger groups and p-adic distribution algebras

Date, Time, Venue : 31st July (Wednesday) at 11:30 in room 215

Note that the lecture is of 90 minutes duration.

Abstract: p-adic representations of p-adic groups became central objects of
investigation especially in view of the somewhat recent p-adic Langlands
program. In this talk, I will explore how investigating the topological
irreducibility of specific p-adic principal series representations
naturally directed us to examine dagger groups linked to `*p**-saturated
groups'.* Additionally, I will discuss the curious concept of 'strict
neighborhood groups' of these p-saturated groups. Finally, I will conclude
by introducing the concept of p-adic overconvergent distribution algebras,
and arguing why they may be a more suitable candidate than their rigid
analytic counterparts for addressing certain issues in p-adic
representation theory. This is joint work with Claus Sorensen and Matthias
Strauch.

Talk 1 (Colloquium)

Speaker : Rakesh Pawar

Title: Milnor-Witt cycle modules over excellent DVR

Date, Time, Venue : 4:00 pm on Wednesday (31st July) in Ramanujan Hall

Abstract: I will briefly recall Cycle modules over a field as defined by
Rost (1996) and their significance and properties. Recently, 'modules'
over Milnor-Witt K-theory or alternatively Milnor-Witt cycle modules
over field have been formalized by N. Feld (2020).

I will talk about recent joint work with Chetan Balwe and Amit Hogadi,
where we considered the Milnor-Witt cycle modules over excellent DVR and
studied a subclass of these that satisfy certain lifting conditions on
residue maps associated with horizontal valuations. As an important
example, Milnor-Witt K-theory of fields belongs to this subclass.
Moreover, this condition is sufficient to deduce the local acyclicity
property and A^1-homotopy invariance of the associated Gersten complex.

Algebraic Groups Seminar

Friday, August 2, 2024, 4 pm

Venue: Ramanujan Hall

Host: Dipendra Prasad

Speaker: Saad.

Affiliation: IIT Bombay, Mumbai.

Title: Nilpotent Conjugacy Classes

Abstract: We continue the analysis of nilpotent conjugacy classes from the
book of Collingwood and McGovern.