| Date: |
July 30, 2008, 15:30 - 16:30 |
| Place: |
Room 633, 6th floor, Research Centers Building, Kashiwa Campus of the University of Tokyo |
| Speaker: |
Satoshi Kondo (IPMU) |
| Title: |
On a Drinfeld modular analogue of Beilinson's conjecture |
| Abstract: |
For a variety over the field of rational numbers,
Beilinson's conjecture describes how the motivic cohomology,
the Deligne cohomology, and the Hasse-Weil L-function are related.
We consider its analogue for a variety over a function field of
a curve over a finite field. Our main result (joint work with
Seidai Yasuda (Kyoto university)) is a Drinfeld modular
analogue of Beilinson's work on (elliptic) modular curves.
In this talk, we recall Beilinson's conjecture and Drinfeld modules
briefly, and discuss certain tools such as Euler systems involved
in our proof.
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