PhD Presynopsis seminar

Speaker : Deep Makadiya

Day/date/Time : Monday, 9 December, 11:00 am

Venue : Ramanujan hall

Title : Some Properties of Twisted Chevalley Groups

Abstract : We will discuss some results from my PhD research, which
investigates certain structural properties of twisted Chevalley groups
over commutative rings.

Speaker: Devdatta Hegde

Day/Date/Time : Tuesday 10th December, 11:30

Venue : Ramanujan Hall

Title : Poles of non-cuspidal Eisenstein series

Abstract : We will show how to determine the poles of non-cuspidal
Eisenstein series by a straightforward global argument in the simplest
example of unramified degenerate Eisenstein series. The location of the
poles is determined by the highest weights occurring in the decomposition
of a natural SL_2 representation.

Speaker: Basudev Pattanayak, Univ of Hong Kong

Date & Time: 4 pm, Wednesday, 11 December 2024

Title: Algorithms for Computing Parabolic Inductions and Jacquet Modules for the General Linear Group

Abstract: Let G be a general linear group over a non-Archimedean local field. Parabolic inductions and Jacquet modules are basic tools in the representation theory of G. In this talk, we will discuss algorithms for computing specific Jacquet modules in the form of 'derivatives' and certain parabolic inductions in the form of 'integrals' of irreducible smooth representations of G. These derivatives and integrals are essential for understanding quotient branching laws, particularly in identifying generalized GGP relevant pairs in G. This talk is based on ongoing work with Kei Yuen Chan.

Speaker: R. Venkatesh, Department of Maths, IISc
Date and time: 12th Dec 2024, 11:00-12:00 hrs
Venue: Ramanujan hall, our department.

Title: Partially commutative algebraic structures and graph invariants

Abstract:  Let G be a finite simple graph. Various algebraic structures
can be associated with G. In this lecture, we will focus on some of the
partially commutative algebraic structures related to G, and explore the
connections between these structures and some key graph invariants of G.