K-theoretic sheaf counting invariants on C^4

Moduli and Algebraic Cycles

26 October 13:15 - 14:15

Jørgen Rennemo (Online) - University of Oslo

Oh and Thomas have recently defined a K-theoretic sheaf counting invariant for moduli spaces of sheaves on a Calabi-Yau 4-fold. One of the simplest examples of such a moduli scheme is the Hilbert scheme of n points on C^4. The topic of this talk is a proof of a formula for the generating functions of invariants of these Hilbert schemes, confirming a conjecture of Nekrasov (as well a generalisation to Quot schemes of C^4, conjectured by Nekrasov and Piazzalunga).

This is joint work with Martijn Kool.

Click here to watch the seminar

John Christian Ottem
University of Oslo
Dan Petersen
Stockholm University
David Rydh
KTH Royal Institute of Technology


Dan Petersen


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