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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Non-abelian Derived Categories and Derived Schur and Weyl Functors
非阿贝尔派生范畴 派生舒尔 外尔函子
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2023/4/13
We'll start with reviewing Quillen and Lurie's theory of non-abelian derived categories (also known as the "animation" theory). Following that, we will apply this theory to generalize the classical Sc...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Derived Grassmannians, derived Schur functors, and their applications
派生 格拉斯曼量 舒尔函子 应用
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2023/4/21
In this talk, we will revisit Grothendieck's theory of Grassmannians and flag schemes and the theory of Schur and Weyl module functors studied in $GL_n$-representation theory from theperspective of de...
K-theory of $\lambda$-rings and tensorlike functors
K-theory of $\lambda$-rings tensorlike functors
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2011/1/18
We refine the invariant on K2(A[Cpe ]/Im, (T − 1)) constructed in a previous paper to one which is an isomorphism for all -rings A.
On isomorphisms of certain functors for Cherednik algebras
certain functors Cherednik algebras
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2010/11/8
Bezrukavnikov and Etingof introduced some functors between the categories O for rational Cherednik algebras. Namely, they defined two induction functors Ind_b, ind_\lambda and two restriction functors...
From WZW models to Modular Functors
WZW models Modular Functors
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2010/12/3
In this survey paper we give a relatively simple and coordinate free description of the WZW model as a local system whose base is the Gm-bundle associated to the determinant bundle on the moduli stack...