2015
Dec
07

# Number theory: Jean-Baptiste Teyssier (HUJI) "Kedlaya-Mochizuki theorem and applications"

4:00pm to 5:15pm

## Location:

Ross Building, room 70A

Let X be a complex manifold and let M be a meromorphic connection on X with

poles along a normal crossing divisor D. Levelt-Turrittin theorem asserts that the pull-back of M to the formal neighbourhood of a codimension 1 point in D decom poses (after ramification) into elementary factors easy to work with.

This decomposition may not hold at some other points of D. When it does, we say

that M has good formal decomposition along D. A conjecture of Sabbah, recently

proved by Kedlaya and Mochizuki independently, asserts roughly the

poles along a normal crossing divisor D. Levelt-Turrittin theorem asserts that the pull-back of M to the formal neighbourhood of a codimension 1 point in D decom poses (after ramification) into elementary factors easy to work with.

This decomposition may not hold at some other points of D. When it does, we say

that M has good formal decomposition along D. A conjecture of Sabbah, recently

proved by Kedlaya and Mochizuki independently, asserts roughly the