1. Number theory seminar
Speaker: Keshav Aggarwal (IIT Bombay)
Title: Tate's thesis learning seminar
Time, day and date: 11:30:00 AM - 1:00:00 PM, Monday, November 11
Venue: Room 215

IPDF seminar
Speaker: Mohan (ISI Delhi)
Title: On Additive complements with special structures
Time, day and date: 4:00:00 PM - 5:00:00 PM, Monday, November 11
Venue: Online only (https://meet.google.com/csc-tdak-emb)

Presynopsis seminar:

Date and time: Tuesday, 12 November 2024, 12.00 PM

Venue: Ramanujan Hall, Department of Mathematics

Title : Operators associated with various domains in $\mathbb C^n$

Abstract :
We investigate the interplay between complex geometry and operator theory,
focusing on how certain geometric and algebraic objects can be understood
through the operator theory. In particular, we explore a few key concepts
that have gained significant attention in the study of Hilbert space
operators: spectral sets, operators associated with various domains in
$\mathbb C^n$ and distinguished varieties. The domains of our interest are
polyannulus, bidisc, biball, symmetrized bidisc and pentablock.

Speaker: Pankaj Vishe (University of Durham, United Kingdom)
Title: A two dimensional delta method and applications to quadratic forms
Time, Day and Date: 15:00 - 16:00, Wednesday, November 13
Venue: Ramanujan Hall

Abstract: We develop a two dimensional version of the delta symbol method
and apply it to establish quantitative Hasse principle for a smooth pair
of quadrics defined over Q defined over at least 10 variables. This is a
joint work with Junxian Li (UC Davis) and  Simon L. Rydin Myerson
(Warwick).

Speaker: Raghu Pantangi
Venue: Ramanujan Hall
Time: 11:30-12:30 hrs
Date: 14th Nov 2024

Title: Erd\H{o}s-Ko-Rado theorem and its generalizations.

Abstract: Erd\H{o}s-Ko-Rado (EKR) theorem is a classical result in extremal
combinatorics. This celebrated result determines the size and the structure
of the largest possible collections of pairwise intersecting $k$-subsets of a
fixed $n$-set. There have been many generalizations of this result to other
mathematical objects which possess a notion of intersection ( vector spaces,
permutations, perfect matchings, etc.). In this talk, we will discuss some of
these generalizations, with a special focus on permutation groups.