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Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
18 декабря 2017 г. 10:50, г. Москва, НМУ (Большой Власьевский переулок, д. 11), к. 401


Hypergeometric monodromy groups of orthogonal type

T. M. Venkataramana

TIFR, India



Аннотация: A result of Levelt completely describes the monodromy representation associated to the "Clausen–Thomae hypergeometric functions". Using this and certain results of Beukers and Heckman, we show that if the real Zariski closure of the monodromy group is O(p,q) with p and q at least two, then there are many such monodromy groups which are arithmetic. The roof exploits the existence of many unipotent elements in the monodromy group.

Язык доклада: английский


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