Number Theory Seminar

Date and time

Tuesday, 3 January 2023, 4:00 pm

Venue

Ramanujan Hall

Speaker

Saurabh Kumar Singh

Affiliation

IIT Kanpur

Title:

The Circle Method and the Subconvexity Problem

Abstract:

In this talk, we shall discuss about the early days of the Circle Method and the Subconvexity Problem. We will examine how the Circle Method developed into one of the most powerful techniques, and how Subconvexity became one of the central problems in Analytic Number Theory.

Mathematics Colloquium

Date

Wednesday, 4 January 2023, 4 pm

Venue

Ramanujan Hall

Speaker

Mahir Bilen Can

Affiliation:

Tulane University, New Orleans, USA 

Title:

Linear Algebraic Monoids From a Bird's Eye Viewpoint

Abstract:

The theory of algebraic groups, which began as an offshoot of Lie theory, has become one of modern mathematics' crowning achievements. It has connections and applications to almost all areas of mathematics. Surprisingly, the more general theory of algebraic monoids has a shorter history, dating only to the early 1980s. In this talk, after making a broad introduction to the theory of algebraic groups, we will review the theory of linear algebraic monoids. The purpose of our discussion is to explain why further investigation and focus should be given to this mathematical gold mine.

Algebraic Geometry  Seminar

Date:

Thursday, 5 January, 2023, 2.15 pm

Venue:

Ramanujan Hall

Speaker:

Atharva Korde

Affiliation:

Univ. of British Columbia,Vancouver, BC, Canada

Title:

An introduction to Gromov-Witten and Donaldson-Thomas theory

Abstract:

I will give an introduction to Gromov-Witten invariants (via algebraic geometry, rather than symplectic geometry) and Donaldson-Thomas invariants. Then I will explain the GW-DT correspondence, which relates these two sets of numbers for a Calabi-Yau threefold. If time permits, I will talk about quantum cohomology later, an idea of Kontsevich which is used to answer the question of counting the following GW-invariant – how many rational curves of degree d pass through 3d-1 general points in the plane ? The first talk will be less technical and accessible to anyway with minimal knowledge of algebraic geometry. The second talk will be more technical.

Mathematics Colloquium

Date and time: 6 January 2023
Venue: Ramanujan Hall

Speaker: Amod Agashe, Florida State University, USA

Title: The second part of the Birch and Swinnerton-Dyer conjecture for elliptic curves

Abstract: We will define elliptic curves and state the Birch and Swinnerton-Dyer conjecture. The first part of the conjecture is a Clay millennium prize problem. We will focus on the second part, and mention some of our results relevant to it.

Virtual Commutative Algebra  Seminar

For more information and links to videos and lectures notes previous seminars held during 2020-2022 visit the website of VCAS:

 https://sites.google.com/view/virtual-comm-algebra-seminar

Date

Friday, 6 January 2023, 5:30 pm

Venue

Gmeet link: meet.google.com/utk-dhcw-oeu

Speaker

Vu Quang Thanh

Affiliation

 Hanoi University of Science and Technology, Hanoi, Vietnam

Title

Regularity of powers and symbolic powers of squarefree monomial ideals

Abstract

I will discuss the problem of comparing/computing the regularity of symbolic powers and regular powers of certain classes of square-free monomial ideals focusing on edge ideals of graphs.