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Pre-synopsis seminar
Tuesday, November 28, 10:00 am
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Venue: https://meet.google.com/mrn-wpbn-hnh
Host: Prachi Mahajan
Speaker: Rahul Kumar
Title: The Bergman-Friedman invariant on some classes of pseudo-convex domains
Combinatorics and TCS seminar
Tuesday, 28th Nov 2023, 11 am
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Venue: Ramanujan Hall
Host: S. Sivaramakrishnan
Speaker: Haritha Cheriyath, TIFR-CAM
Title: ENUMERATION OF SUBWORDS ON SEQUENCES AND ITS APPLICATIONS
Abstract: We start with an enumeration problem studied by Guibas and Odlyzko in 1979 and its applications in seemingly unrelated scenarios that include game theory, pattern matching algorithm, graph theory, and symbolic dynamics. One of the main objects of our study is a subshift of finite type, which is used as a tool to model a large class of dynamical systems. It consists of a collection of all one-sided sequences over a finite symbol set which contains none of a given finite collection of words. We discuss its correspondence with an edge labeled multigraph and hence with its associated adjacency matrix. We see how some (topological as well as measure-theoretic) properties of a subshift of finite type are studied using this correspondence and solve a generalized version of the enumeration problem.
Algebraic Groups seminar
Tuesday, 28 November 2023, 4 pm
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Venue: Ramanujan Hall
Host: Shripad Garge
Speaker: Chayan Karmakar
Affiliation: IIT Bombay
Title: Differentials & Smooth Points - IV
Abstract: We study the notion of Lie algebra of a linear algebraic group
Pre-Synopsis Seminar
Wednesday, 29 November 2023, 10:00 am
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Venue: Conference Room, Math Office
Host: Koushik Saha
Speaker: Kiran Kumar A.S.
Title: On Eigenvalues of Linial-Meshulam Complexes and Generalized Patterned Random Matrices