Universität Augsburg
|
Konstantin Jakob
Universität Bayreuth
spricht am
Donnerstag, 6. Juli 2017
um
10:00 Uhr
im
Raum 3008 (L1)
über das Thema:
Abstract: |
Rigid local systems classically arise as the solution sheaves of rigid complex differential equations. These are equations which are globally determined by their local monodromy around their singularities. One of the most famous examples is the Gaussian hypergeometric equation. Katz studied rigid local systems with regular singularities (resp. tame ramification) in great detail, providing an existence algorithm for rigid local systems. In this talk, we outline how to use an extended version of this algorithm due to Arinkin to construct and classify rigid irregular connections with differential Galois group of type G2. We compare the employed methods to the setting with base field of positive characteristic, i.e. l-adic local systems with wild ramification. |
Hierzu ergeht herzliche Einladung. |
Prof. Dr. Maxim Smirnov |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).