Infosheet (July 18th, 2017) |
Queen's University - Department of Mathematics and Statistics |
Wednesday, July 19 |
Number Theory Seminar Time: 11:00 a.m. Place: Jeffery 422 |
Speaker: Mike Roth Title: Generalizations of Liouville and Roth’s theorems to higher dimensions Abstract Attached |
Wednesday, July 19 |
Number Theory Seminar Time: 12:00 p.m. Place: Jeffery 422 |
Speaker: Stan Xiao, Oxford Title: Parametrizing binary quartic forms with small Galois group Abstract Attached |
Thursday, July 20 |
Curves Seminar Time: 1:30 p.m. Place: Jeffery 422 |
Speaker: Esme Tremblay Title: The Borel-Weil Theorem and Representations of SL_{n+1} Abstract Attached |
Items for the Info Sheet should reach Anne ( burnsa@queensu.ca) by noon on Monday. The Info Sheet is published every Tuesday.
Wednesday, July 19, 11:00 a.m. Jeffery 422 - Number Theory Seminar
Speaker: Mike Roth
Title: Generalizations of Liouville and Roth’s theorems to higher dimensions
Abstract: In a previous talk in the number theory seminar I discussed approximation on the real line. In this talk we will discuss a generalization of those results to algebraic varieties of arbitrary dimension.
Wednesday, July 19, 12:00 p.m. Jeffery 422 - Number Theory Seminar
Speaker: Stan Xiao
Title: Parametrizing binary quartic forms with small Galois group
Abstract: We give two different parametrization of binary quartic forms with a rational automorphism, whose irreducible elements are quartic forms whose Galois group does not contain an element of order 3. We shall also define a height which allows us to count these quartic forms with some additional fixed data. This is joint work with Cindy Tsang.
Thursday, July 20, 1:30 p.m. Jeffery 422 - Curves Seminar
Speaker: Esme Tremblay
Title: The Borel-Weil Theorem and Representations of SL_{n+1}
Abstract: The irreducible representations of SL_{n+1} can be described geometrically as the non-zero sets of holomorphic sections of line bundles over n^{th} complete flag variety. This correspondence is described explicitly in the Borel-Weil Theorem. In this talk, we will briefly review the background material necessary for a statement of the theorem, as well as a complete proof. We will also examine an application of the theorem, if time permits.