The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)


ICMS Seminar

30.10.23, 31.10.23, 02.11.23 & 06.11.23,
14:00, Sofia – time

ICMS-Sofia, Room 403

Peter Dalakov


Introduction to Projective Structures and Opers

A complex projective structure on a Riemann surface is determined by an atlas, whose transition functions are Moebius (fractional-linear) transformations. There are multiple   descriptions of these structures: as certain flat PGL_2-bundles, as Sturm-Liouville operators, as holomorphic connections on the (first) jet bundle of the dual of a theta-characteristic, etc. This mini-course is an introduction to the fundamentals of projective structures, accessible to students and non-specialists. We will also explore links to some classical geometric objects (such as quadratic differentials and Schwarzian derivatives), as well as some generalisations (G-opers) introduced by Beilinson and Drinfeld.

More on Peter Dalakov on his personal webpage: