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Speaker:
Sandip Singh
Affiliation:
Tata Inst. (TIFR)/Mainz/MPIM
Date:
Tue, 25/08/2015 - 14:00 - 15:00
Location:
MPIM Lecture Hall
Parent event:
Seminar on Algebra, Geometry and Physics The monodromy groups of hypergeometric differential equations are characterised as the subgroups of GL_n generated by the companion matrices of two monic co-prime polynomials of degree n, and the Zariski closure of these groups inside GL_n is either symplectic or orthogonal group.
In this talk, we will describe a sufficient condition on a pair of the polynomials that the associated monodromy group is an arithmetic subgroup of the symplectic group, and show some examples of arithmetic orthogonal monodromy groups.
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