Por Giordano Cotti (Group of Mathematical Physics of the University of Lisbon).
The aim of the course is to give a self-contained introduction to the analytic theory of Frobenius manifolds, ordinary differential equations with rational coefficients in complex domains, and their isomonodromic deformations. Applications to enumerative geometry will also be discussed. In the final part of the mini-course, more recent results in this research area will be presented.
The course will consist of 5 lectures, which will be shown live on YouTube, at the url shown below (where the lectures will stay available for a later view):
- Introduction to Frobenius manifolds, Tuesday, 9 February, from 10:00 to 12:00 Lisbon time (GMT + 0)
- Examples of Frobenius manifolds, Thursday, 11 February, from 10:00 to 12:00 Lisbon time (GMT + 0)
- Analytic theory of Frobenius manifolds - I, Tuesday, 16 February, from 10:00 to 12:00 Lisbon time (GMT + 0)
- Analytic theory of Frobenius manifolds - II, Thursday, 18 February, from 10:00 to 12:00 Lisbon time (GMT + 0)
- Some recent results and work in progress, Friday, 19 February, from 10:00 to 12:00 Lisbon time (GMT + 0)
The public has the possibility to ask questions to the speaker through the live-chat, that will be read by a moderator.
More information, including the syllabus, the abstract of each lecture and the recommended literature, available here.
The course is a part of the FCT Research Project “Irregular connections on algebraic curves and quantum field theory” (PTDC/MAT-PUR/30234/2017).
