Date | 2015-06-11 |
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Speaker | 이규환 |

Dept. | The University of Connecticut |

Room | 27-325 |

Time | 16:00-17:00 |

Eisenstein series play an important role in the theory of automorphic forms on reductive groups. On the other hand, Kac-Moody groups are infinite dimensional groups, and only recently there have been attempts to define Eisenstein series and automorphic forms on Kac--Moody groups which found applications in string theory in physics.

In this talk, we consider Eisenstein series on an arbitrary Kac–Moody group, induced from quasi-characters, and prove the almost-everywhere convergence of Kac--Moody Eisenstein series inside the Tits cone for spectral parameters in the Godement range. For a certain class of Kac-Moody groups satisfying an additional combinatorial property, we show absolute convergence everywhere in the Tits cone for spectral parameters in the Godement range. This is a joint work with Carbone, Garland, Miller and Liu.

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