Department of Mathematics

Indian Institute Of Technology Madras , Chennai

Enumerative combinatorics in the Alternating group $AAA_n$ and more

Speaker : Prof. Sivaramakrishnan Sivasubramanian, Department of Mathematics, Indian Institute of Technology (IIT) Bombay

18-09-2024

Abstract :

Enumeration of several combinatorial statistics in $AAA_n$ surprisingly gives clean results. In this talk, we cover two such statistics, excedance and descent-length. Apart from getting clear answers, we are also able to get the mean and sometimes Central Limit Theorems for the random variable that takes these statistics as values when permutations are sampled from $AAA_n$.

Extensions to type B and type D Coxeter groups are given whenever applicable. Proofs seem to make use of various techniques and are many times of independent interest.

Key Speaker Prof. Sivaramakrishnan Sivasubramanian, Department of Mathematics, Indian Institute of Technology (IIT) Bombay
Place KCB 503
Start Time 3:30 PM
Finish Time 4:30 PM
External Link None