Seminario de Categorías

David Roberts

Resumen: The notion of string structure on a space X goes back to work in the 1980s, particularly of Killingback, starting as an analogue of a spin structure on the loop space LX. In the decades since, increasingly refined versions of string structures have been defined. Ultimately, one wants to have a full-fledged String 2-bundle with connection, a structure from higher geometry, which combines differential geometry and category-theoretic structures. A half-way step, due to Waldorf, is known as a "geometric string structure". Giving examples of such structures, despite existence being know, has been an outstanding problem for some time. In this talk, I will describe joint work with Raymond Vozzo on our framework for working with the structure that obstruct the existence of a geometric string structure, which is a 2-gerbe with connection, as well as give a general construction of geometric string structures on reductive homogeneous spaces.

YouTube: https://www.youtube.com/watch?v=j_ToJLaAZ5c

Web: https://sites.google.com/im.unam.mx/seminario-de-categorias-unam/inicio