University of Cambridge > > Differential Geometry and Topology Seminar > Gauge theory on G2–manifolds

Gauge theory on G2–manifolds

Add to your list(s) Download to your calendar using vCal

  • UserThomas Walpuski, Imperial College
  • ClockWednesday 12 March 2014, 15:45-16:45
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith.

Note atypical time

In their seminal paper “Gauge theory in higher dimension” Donaldson and Thomas suggested to construct a gauge theoretic enumerative invariant of G2–manifolds, some times called the G2 Casson invariant, by counting G2–instantons and/or associative submanifolds. I will discuss two recent existence results for G2–instantons and a partial converse of Tian’s foundational bubbling analysis. It is a consequence of the latter that the conjectural G2 Casson invariant should be a weighted count of both G2–instantons and associative submanifolds and that the weights have to behave in a very special way. Constructing a coherent system of weights is a difficult open problem. If time permits, I will discuss some ideas for producing such weight systems and the analytical problems involved.

This talk is part of the Differential Geometry and Topology Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity