Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Overview of Some Appearances of Multivalued Solutions in Differential Geometry

Overview of Some Appearances of Multivalued Solutions in Differential Geometry

[HYBRID WORKSHOP] New Four-Dimensional Gauge Theories October 24, 2022 - October 28, 2022

October 24, 2022 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Simon Donaldson (State University of New York, Stony Brook)
Location: MSRI: Simons Auditorium, Online/Virtual
Tags/Keywords
  • adiabatic limits

  • maximal submanifolds

  • calibrated geometry

  • gauge theory

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

Overview Of Some Appearances Of Multivalued Solutions In Differential Geometry

Abstract

An interesting development, over the past decade or so, has been the appearance of “multivalued” objects (such as functions, forms, spinors) in various branches of differential geometry. These include gauge theory, calibrated geometry and adiabatic limits of structures on manifolds. The developments extend more classical constructions in the case of Riemann surfaces. In the first part of the talk we review, in outline, some of the geometric and analytic aspects of these developments (related to other talks in this workshop). In the last part we focus in more detail on the adiabatic description of co-associative fibred G2 manifolds and research directions which these suggest.

Supplements
Asset no preview Overview of Some Appearances of Multivalued Solutions in Differential Geometry 94.6 KB application/pdf Download
Video/Audio Files

Overview Of Some Appearances Of Multivalued Solutions In Differential Geometry

Troubles with video?

Please report video problems to itsupport@msri.org.

See more of our Streaming videos on our main VMath Videos page.