Seminars and Colloquia by Series
Wednesday, September 2, 2015 - 14:05 , Location: Skiles 006 , Jonathan Paprocki , Georgia Tech , Organizer: Jonathan Paprocki
We review the basics of hyperbolic geometry in preparation for studying mapping class groups.
Thursday, July 16, 2015 - 14:05 , Location: Skiles 006 , Shane Scott , Georgia Tech , firstname.lastname@example.org , Organizer: Shane Scott
This talk is an oral comprehensive exam in partial fulfillment of the requirements for a doctoral degree. To any topological surface we can assign a certain communtative algebra called a cluster algebra. A surface cluster algebra naturally records the geometry of the surface. The algebra is generated by arcs of the surface. Arcs carry a simplicial structure where the maximal simplices are triangulations. If you squint you can view a surface cluster algebra as a coordinate ring of decorated Teichmuller space with Penner's coordinate. Recent work from many authors has shown that the automorphisms of the surface cluster algebra which preserve triangulations arise from the mapping class group of the surface. But there are additional automorphisms that preserve meaningful structure of the cluster algebra. In this talk we will define surface cluster algebras and discuss future research toward understanding structure preserving automorphisms.
Wednesday, April 29, 2015 - 14:05 , Location: Skiles 006 , Robert Krone , Georgia Tech , email@example.com , Organizer: Robert Krone
For Prof. Wickelgren's Stable Homotopy Theory class
The Steenrod algebra consists of all natural transformations of cohomology over a prime field. I will present work of Milnor showing that the Steenrod algebra also has a natural coalgebra structure and giving an explicit description of the dual algebra.