Columbia Mathematics Department Colloquium

 

"Monodromy"

by

Frans Oort

(Utrecht and Columbia)

 

Abstract:
Where is the terminology "monodromy" used for the first time in history? We will discuss historical roots of this topic in the 19-th century and compare these

with work on monodromy in the 20-th century.  Then we will see how the use of a differential equation enables us to compute a class number

(a beautiful proof by Igusa, later generalized in various disguises). We will see how Honda-Tate theory (the topic of our Friday graduate seminar)

 gives a computation of a monodromy group (as shown by Ribet). And I will conclude by describing joint work with Ching-Li Chai,where we compute

 l-adic and p-adic monodromy on  certain subvarieties of the moduli space of abelian varieties (which connects with my Eilenberg lectures on Fridays).

.

 

  October 8th, Wednesday, 5:00-6:00 pm

Mathematics 520

Tea will be served at 4:30pm