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.

Contact Info

Department of Math & Stats
Jeffery Hall, 48 University Ave.
Kingston, ON Canada, K7L 3N6
Phone: (613) 533-2390
Fax: (613) 533-2964
mathstat@mast.queensu.ca
Office Hours: 8:30am-12:00pm & 1:00pm-4:30pm

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