Saturday, September 17, 2022

Kaneenika Sinha (IISER, Pune) - Mini Course - Thursday, Sept 22 and Oct 6 - 4-5:00 PM (IST)

We are happy that Kaneenika Sinha (IISER, Pune) has consented to give a mini-course on Central limit theorems in number theory. The course will comprise two lectures. The announcement is below. Graduate students who are interested in number theory are especially welcome to hear Professor Sinha. 

Mini-course announcement

Title:  Central Limit theorems in Number Theory

Speaker: Kaneenika Sinha (IISER, Pune)

The goal of these lectures is to review a theme that binds the study of different types of arithmetic functions, namely central limit theorems.  After reviewing the "prototype" theorem in this theme, namely the classical Erdos-Kac theorem about the prime-omega function, we will survey different types of central limit theorems in the context of zeroes of zeta functions, eigenvalues of Hecke operators acting on spaces of cusp forms and eigenvalues of regular graphs.

Where: Zoom. Please ask the organisers for a link

Talk 1:  Thursday, September 22, 2022 - 4:00 PM - 5:00 PM (IST) 

Talk 2:  Thursday, October 6, 2022 - 4:00 PM - 5:00 PM (IST) 

Tea or Coffee: Please bring your own.

Talk 1

Talk 2

Friday, September 2, 2022

Ole Warnaar (Queensland, Australia) - Thursday, September 8, 2022 - 4:00 PM-5 PM (IST)

After a refreshing break in a summer with many opportunities to meet in person, we are back with a talk by Professor Ole Warnaar of the University of Queensland, Australia. 

Talk Announcement:

Title:  Cylindric partitions and Rogers--Ramanujan identities

Speaker: S. Ole Warnaar (University of Queensland, Australia)
When: Thursday, September 8, 2022 - 4:00 PM - 5:00 PM (IST) 

Where: Zoom. Please ask the organisers for a link

Tea or Coffee: Please bring your own.


Cylindric partitions, first introduced by Gessel and 
Krattenthaler in 1997, are an affine (or toroidal) analogue of
ordinary plane partitions. Perhaps somewhat surprisingly, cylindric 
partitions have a close connection to Rogers--Ramanujan-type $q$-series 
identities. In this talk I will try to explain this connection, and report 
on some new Rogers--Ramanujan identities for the affine Lie algebra 
$\mathrm{A}_2^{(1)}$ that follow naturally from this connection.