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.