GP Seminar: The Blowup Formula for the Instanton Part of Vafa-Witten Invariants on Projective Surfaces

  • Date: –11:30
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å10238 + Zoom
  • Lecturer: Oliver Leigh (Uppsala University)
  • Organiser: Matematiska institutionen
  • Contact person: Michele Del Zotto
  • Seminarium

Welcome to this seminar held by Oliver Leigh (Uppsala University) with the title "The Blowup Formula for the Instanton Part of Vafa-Witten Invariants on Projective Surfaces".

Abstract:

In this talk I will present a blow-up formula for the generating series of virtual χ_y-genera for moduli spaces of sheaves on projective surfaces. The formula is related to a conjectured formula for topological χ_y-genera of Göttsche, and is a refinement of a formula of Vafa-Witten relating to S-duality. I will also discuss the proof of the formula, which is based on the blow-up algorithm of Nakajima-Yoshioka for framed sheaves onℙ^2.

This talk is based on joint work with Nikolas Kuhn and Yuuji Tanaka.
 

Participate on site or on Zoom (meeting ID: 635 0701 5729, passcode: joint)

This is a seminar in our seminar series on Geometry and Physics (GP).

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