Back to Algebraic Geometry Seminar: Fall 2017
Algebraic Geometry Seminar
Date: Tuesday, Sep 5, 2017
Time: 3:30PM - 4:30PM
Location: LCB 215
Bronson Lim
University of Utah
Title |
Semiorthogonal decompositions of equivariant derived categories of invariant divisors |
Abstract |
Give a smooth variety Y with an action of a finite group G, and given a semiorthogonal decomposition of the derived category D[Y/G] of G-equivariant coherent sheaves on Y into subcategories that are equivalent to derived categories of smooth varieties, we construct a semiorthogonal decomposition for a smooth G-invariant divisor on Y. Combining this with some known semiorthogonal decompositions when G is a complex reflection group acting on a vector space, we construct semiorthogonal decompositions of some G-equivariant derived categories of projective hypersurfaces. |
Algebraic Geometry