Michael Stoll
Michael Dettweiler
Mathematisches Institut
Universität Bayreuth
95440 Bayreuth, Germany
| Tuesday, 16:15-18:00 | in S75 | |||
| 24. 10. 2013 | Nuno Freitas: | Irreducibility of mod p Galois representations and Fermat-type equations of signature (r,r,p) | ||
| 29. 10. 2013 | Michael Dettweiler: | Construction of certain quaternionic Galois extensions | ||
| 5. 11. 2013 | No seminar | (Luis Dieulefait had to cancel his talk) | ||
| 12. 11. 2013 | No seminar | (Michael Dettweiler is ill) | ||
| 19. 11. 2013 | Michael Stoll: | Zilber-Pink implies uniform Mordell-Lang for curves | ||
| 26. 11. 2013 | Nuno Freitas: | The Fermat equation over totally real fields | ||
| 3. 12. 2013 | Stefan Reiter: | Some 3-dimensional orthogonal groups as Galois groups | ||
| 10. 12. 2013 | Sandip Singh: (Mainz) |
Arithmeticity of certain Symplectic Monodromy Groups | ||
| Abstract: | Monodromy groups of hypergeometric differential equations are defined as image of the fundamental group G of Riemann sphere minus three points namely 0, 1 and the point at infinity, under some certain representation of G inside the general linear group GLn. By a theorem of Levelt (1961), the monodromy groups are (up to conjugation in GLn) the subgroups of GLn generated by the companion matrices of two degree n polynomials f and g with complex coefficients and having no common roots. If we start with f, g two integer coefficient polynomials of degree n (an even integer) which satisfy some "conditions" with f(0)=g(0)=1, then the associated monodromy group preserves a non-degenerate integral symplectic form, that is, the monodromy group is contained in the integral symplectic group of the associated symplectic form. In this talk, we will describe a sufficient condition on a pair of the polynomials that the associated monodromy group is an arithmetic subgroup (a subgroup of finite index) of the integral symplectic group. |
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| 17. 12. 2013 | Julian Tenzler: | On Grothendieck's fonctions—faisceaux correspondence |