Local organiser. Simons Collaboration meeting on Geometry and Analysis of Moduli Spaces. Imperial College London. January 6, 2020 - January 10, 2020

Event/Organization Administration

The workshop will have two main themes: (A) The Donaldson-Segal programme for defining enumerative invariants of compact G2-manifolds by counting G2 instantons, with correction terms from associative 3-folds. Analysis of G2-instanton moduli spaces, singularities of G2-instantons. Analysis of Seiberg-Witten type equations on 3-manifolds used to define correction terms in Donaldson-Segal programme. Related gauge theory problems, including singularities of Hermitian-Yang Mills connections. (B) The Pantev-Toën-Vaquié-Vezzosi (PTVV) theory of shifted symplectic derived algebraic geometry, giving geometric structures on Calabi-Yau moduli spaces, and its applications to generalizations of Donaldson-Thomas theory of Calabi-Yau 3- and 4-folds. One particular aim is to present the theory in a way accessible to String Theorists, to encourage communication between mathematicians and physicists on this subject, and to facilitate interpretation of the implications of the theory in String Theory terms. Algebro-geometric enumerative invariants (and Floer theories, etc), particularly of Calabi-Yau manifolds, related to the PTVV theory: Donaldson-Thomas, Gromov-Witten, and Vafa-Witten invariants, Donaldson-Thomas type invariants of Calabi-Yau 4-folds, the Gopakumar-Vafa conjecture.

Service Performed By

Role

  • Local organiser

Date

  • January 6, 2020 - January 10, 2020

Service or Event Name

  • Simons Collaboration meeting on Geometry and Analysis of Moduli Spaces

Host Organization

  • Imperial College London

Location or Venue

  • London