Back to Algebraic Geometry Seminar: Fall 2016
Algebraic Geometry Seminar
Date: Tuesday, Sep 27, 2016
Time: 3:30PM - 4:30PM
Location: LCB 222
Room change to LCB 222 starting today
Aaron Bertram
University of Utah
Title |
Veronese secants, Gorenstein rings and stability |
Abstract |
A hyperplane in the vector space k[x_0,…,x_n]_d of homogeneous polynomials of degree d defines the socle of a Gorenstein graded ring. A canonical Bridgeland stability condition allows us to filter these rings (or more precisely their graded resolutions) as objects of the derived category of coherent sheaves and we use this to find some new invariants. In particular, this stratifies the space of polynomials by generalized secant varieties to the Veronese. This is joint work with Brooke Ullery. |
Algebraic Geometry