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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.