CACAAG seminar

Friday, 17 March, 2023, 10 am

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Venue: Ramanujan Hall

Host: Madhusudan Manjunath

Speaker: Madhusudan Manjunath

Affiliation: IIT Bombay

Title: Unimodality and Log concavity in Algebra, Geometry and Combinatorics: Take II.

Abstract:  We will start with a recap and take a more conceptual approach to this topic (with the goal of touching upon recent developments).  We will not assume any particular background and encourage students and those who missed out last week to attend.

Date and time:  Friday, March 17th, 2023

Venue: 11:00 a.m. - 11:50 a.m.

Host: Krishnan Sivasubramanian

Speaker:  Rakesh Jana

Affiliation: IIT Bombay

Title: Distance Matrices of Trees Inspired by Buneman’s Four-Point Condition

Date and time:  March 17, 2023, 12:30 to 1.30 pm

Venue: Ramanujan hall

Host: Prof. P. Vellaisamy

Speaker:  Mostafizar

Affiliation: IIT Bombay

Title: Generalized counting process: its non-homogeneous and          time-changed versions

Virtual Commutative algebra seminar

Friday, 17 March 2023, 6.30 pm

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Host: J. K. Verma

Venue: meet.google.com/oes-jruv-qup

Speaker: Christine Berkesh

Affiliation: University of Minnesota, USA

Title: Differential operators, retracts, and toric face rings 

Abstract: Toric face rings, introduced by Stanley, are simultaneous generalizations of Stanley–Reisner rings and affine semigroup rings, among others. We use the combinatorics of the fan underlying these rings to inductively compute their rings of differential operators. Along the way, we discover a new differential characterization of the Gorenstein property for affine semigroup rings. Our approach applies to a more general class of rings, which we call algebras realized by retracts. This is joint work with C-Y. Chan, P. Klein, L. Matusevich, J. Page, and J. Vassilev.