Log Drinfeld modules and moduli spaces

13 juin 2018, 14:30
1h
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

Centre de Conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

K. Kato (University of Chicago)

Description

We construct toroidal compactifications of the moduli space of Drinfeld modules of rank d with N-level structure. We obtain them as the moduli spaces of log Drinfeld modules of rank d with N-level structure. The theory of toroidal compactifications was announced by Pink long ago (using the works of Fujiwara) but the details are not yet published. We follow the ideas of Pink adding log studies and considering cone decompositions related to simplices of Bruhat-Tits buildings. This is a joint work with T. Fukaya and R. Sharifi.

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