Non-abelian zeta functions and stable pairs
Speaker: Dr. Sergey Mozgovoy (TCD)
Time: 4.00 PM
Date: Monday 14th October 2013
Location: Casl Seminar Room Block 8 (Belfield Office Park)
Abstract:
Non-abelian zeta functions are defined by counting vector bundles and their sections over an algebraic curve. In the rank one case one obtains the usual zeta function of the curve. The uniformity conjecture of Weng suggests that the non-abelian zeta functions coincide with the special group zeta functions of the curve. In this talk I will explain how the non-abelian zeta functions are related to the invariants of moduli spaces of stable pairs, how the latter invariants can be computed using the wall-crossing formulas, and how these results can be used to check the uniformity conjecture. This is joint work with Markus Reineke.
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