IPDF Talk
Date and Time: Thursday, May 11, 2023, at 11.30 am

Google Meet Link: meet.google.com/rgk-afbq-fwg

Speaker: Subrata Golui, Research Scholar, IIT Guwahati

Title: Discrete-time Zero-Sum Games for Markov Chains with risk-sensitive
average cost criterion

Abstract:   We study zero-sum stochastic games for controlled discrete
time Markov chains with risk-sensitive average cost criteria with
countable state space and Borel action spaces. The payoff function is
nonnegative and possibly unbounded. Under a certain Lyapunov-type
stability assumption on the dynamics, we establish the existence of the
value and a saddle point equilibrium. Using the stochastic representation
of the principal eigenfunction of the associated optimality equation, we
completely characterize all possible saddle point strategies in the class
of stationary Markov strategies. Also, we present and analyze an
illustrative example.

IPDF Talk

Date and time:  May 11, Thursday, 4-5pm

Venue:  Link : https://meet.google.com/gyb-jfbn-oiu?authuser=0

Host: Manoj K Keshari

Speaker:  Rajib Sarkar

Affiliation: TIFR Mumbai

Title:Algebraic and homological invariants of binomial edge ideals of graphs.

Abstract:  

Let $G$ be a finite simple graph and $J_G$ be its binomial edge
ideal in the corresponding polynomial ring. Complete intersection binomial
edge ideals are characterized, and they are the paths only. In the first
half, we will discuss almost complete intersection binomial edge ideals and
their Rees algebra. Also, we will discuss the Castelnuovo-Mumford
regularity of powers of almost complete intersection binomial edge ideals.
It is also known that $J_G$ is Gorenstein if and only if $G$ is a path.
There are two natural generalizations of Gorenstein rings: level rings and
pseudo-Gorenstein rings. In the next half, we will study the levelness and
pseudo-Gorensteinness of binomial edge ideals.

CACAAG seminar

Speaker: Ayush Tewari.

Affiliation: Ghent University.

Venue: Ramanujan Hall.

Time: 5 pm, 11 May, Thursday.

Title: Dressian and metric tree arrangements.

Abstract - We give an introduction to the study of the Dressian
Dr(k,n), a tropical prevariety that is an outer approximation to the
tropical Grassmannian. We will discuss the various structures that
this space is endowed with, specifically the relation to metric tree
arrangements in Dr(3,n). If time permits, we can discuss various
generalizations and applications.