|Location:||MSRI: Baker Board Room|
We would like to run a relatively informal working seminar on topics are irregular singularities. There has been much progress in recent years in the understanding of connections with irregular singularities in recent years, generalising the classical one-dimensional theory. Some highlights are for example the recent work of Mochizuki and Kedlaya have obtained powerful results on the formal structure of irregular connections in higher dimensions, the construction of moduli spaces of such connections by Boalch, and the work of Kashiwara-D'Agnolo on the Riemann-Hilbert correspondence for all holonomic D-modules.
I will discuss Mochizuki's proof of the existence of a good formal structure for flat connections on algebraic surfaces, via reduction mod p. So, I will explain p-curvature and its influence on the structure of a connection, and give an outline of Mochizuki's proof.No Notes/Supplements Uploaded No Video Files Uploaded