SGGTC this Friday: You Qi and Yasuyoshi Yonezawa

[Oleg Lazarev]

Dear all, 

This Friday we have two speakers. You Qi  from Caltech will give a talk at 10:30 am in Math 520. Yasuyoshi Yonezawa from Nagoya University will give a talk at 1:00 pm in Math 407. We will meet at 11:35 in the lobby and go out for lunch.  

Best, 

Oleg

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You Qi: On a tensor product categorification at prime roots of unity 

Abstract: Motivated by finding a categorical analogue of conformal blocks, we explain a formalism of extending a given categorical quantum group representation on a Weyl module to a certain tensor product representations. In particular, equipped with p-differential graded structures, the machinery gives rise to a categorification of certain tensor product representations of Weyl modules at prime roots of unity. This is based on joint work and work in progress with M. Khovanov and J. Sussan.

Yasuyoshi Yonezawa: Braid group actions from categorical Howe duality on a category of matrix factorizations and a bimodule category of deformed Webster algebra 

Abstract: Many link homology theories can be understood as categorical braid group actions arising from a categorification of Howe duality. In the theory of categorified quantum groups in type A, we can define a complex that categorifies the Lusztig's braid group action on representations of the quantum group of type A. Using categorical Howe duality, the complex induces several categorifications of R-matrix in representations of the quantum group of type A, for instance, Khovanov-Rozansky sl(n) homology, the complex of Soergel bimodules. Here I talk about the categorical skew Howe duality via the category of matrix factorizations (joint work with Mackaay) and the categorical symmetric Howe duality via the bimodule category of deformed Webster algebras (joint work with Khovanov, Lauda and Sussan).