Reps Seminar - Sachin Gautam

Sachin Gautam
January 23, 2019
4:15 pm - 5:15 pm
Math Tower 154

Date Range
2019-01-23 16:15:00 2019-01-23 17:15:00 Reps Seminar - Sachin Gautam Title: Tensor structures on representations of Yangians Speaker: Sachin Gautam (Ohio State University) Abstract: In this talk I will go over the definition of the Yangian as an associative algebra, and two seemingly different ways to tensor its representations. I will present a method of constructing the unique twist which conjugates one tensor product to the other, based on the existence/uniqueness results for the solutions of PDEs near non-singular points. I will also show one very explicit formula for this twist, obtained in our joint work (Gautam-Toledano Laredo-Wendlandt). Time permitting, we will speculate on its applications to geometry, integrability and mathematical physics. Seminar URL: https://research.math.osu.edu/reps/ Math Tower 154 America/New_York public

Title: Tensor structures on representations of Yangians

Speaker: Sachin Gautam (Ohio State University)

Abstract: In this talk I will go over the definition of the Yangian as an associative algebra, and two seemingly different ways to tensor its representations. I will present a method of constructing the unique twist which conjugates one tensor product to the other, based on the existence/uniqueness results for the solutions of PDEs near non-singular points. I will also show one very explicit formula for this twist, obtained in our joint work (Gautam-Toledano Laredo-Wendlandt). Time permitting, we will speculate on its applications to geometry, integrability and mathematical physics.

Seminar URLhttps://research.math.osu.edu/reps/

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