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Texas A&M University

Events for 12/01/2023 from all calendars

Algebra and Combinatorics Seminar

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Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Catherine Yan, TAMU

Title: Combinatorial Identities for Vacillating Tableaux

Abstract: Vacillating tableaux are sequences of integer partitions that satisfy specific conditions. The concept of vacillating tableaux stems from the representation theory of the partition algebra and the combinatorial theory of crossings and nestings of matchings and set partitions. In this talk we discuss the enumeration of vacillating tableaux and present multiple combinatorial identities and integer sequences relating to the number of vacillating tableaux and limiting vacillating tableaux.

Frontiers in Mathematics

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Time: 4:00PM - 5:00PM

Location: Bloc 117

Speaker: Fabrice Baudoin, University of Connecticut

Description: Talk 3: How to construct Dirichlet forms In the previous lectures, we have shown how Dirichlet forms have proven to be a versatile and powerful tool in many different situations. In this lecture, we will give sufficient general conditions for the existence of a Dirichlet form on a given metric measure space. Such Dirichlet forms will be constructed as Mosco limits of Korevaar-Schoen L2 energies, first in the context of Cheeger spaces and then in the context of fractal-like spaces with walk dimension greater than 2. Among the ingredients, a new Rellich- Kondrachov type theorem for Korevaar-Schoen-Sobolev spaces is of independent interest. The talk will be based on a joint work with Patricia Alonso-Ruiz (Texas A&M)