PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Chun Liu.

Title:Generation spectra: how complex is a category
Seminar:Department of Mathematics Colloquium
Speaker:Matthew Ballard (Host: Kirsten Eisentraeger), University of South Carolina
Abstract:
A basic idea to understand a mathematical object better is finding a minimal subset from which the object can be recovered using the natural operations present. Think basis for a vector space as a spectacular example. I will begin by discussing this idea and naturally arising problems in the case of finite dimensional algebras. This will lay the groundwork for a very analogous version of these questions for triangulated categories. Then I will focus on what these invariants do and could say about varieties, including how they compare to familiar invariants and how they may detect irrationality. Finally, if time allows, I will shift from algebraic geometry to some other areas and discuss applications in representation theory, symplectic topology, and commutative algebra.

Room Reservation Information

Room Number:MB114
Date:02 / 05 / 2015
Time:03:30pm - 04:20pm