Seminars and Colloquia by Series

Topological K-Theory

Series
Geometry Topology Student Seminar
Time
Wednesday, October 16, 2013 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Shane ScottGeorgia Tech
To any compact Hausdorff space we can assign the ring of (classes of) vector bundles under the operations of direct sum and tensor product. This assignment allows the construction of an extraordinary cohomology theory for which the long exact sequence of a pair is 6-periodic.

Exotic 7-Spheres

Series
Geometry Topology Student Seminar
Time
Wednesday, October 9, 2013 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Jamie ConwayGeorgia Tech
We will discuss Milnor's classic proof of the existence of exotic smooth structures on the 7-sphere.

Symplectic fillings of 3-torus.

Series
Geometry Topology Student Seminar
Time
Wednesday, September 25, 2013 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 006.
Speaker
Amey KalotiGeorgia Tech
The aim of this talk is to give fairly self contained proof of the following result due to Eliashberg. There is exactly one holomorphically fillable contact structure on $T^3$. If time permits we will try to indicate different notions of fillability of contact manifolds in dimension 3.

Teichmuller polynomials for a fibered face of the Thurston norm ball

Series
Geometry Topology Student Seminar
Time
Wednesday, March 13, 2013 - 13:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Hyunshik ShinGeorgia Tech
We will briefly talk about the introduction to Thruston norm and fibered face theory. Then we will discuss polynomial invariants for fibered 3-manifolds, so called Teichmuller polynomials. I will give an example for a Teichmuller polynomial and by using it, determine the stretch factors (dilatations) of a family of pseudo-Anosov homeomorphisms.

"Transverse knots and Khovanov homology"

Series
Geometry Topology Student Seminar
Time
Wednesday, March 6, 2013 - 13:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Alan DiazGeorgia Tech
I'll discuss Plamenevskaya's invariant of transverse knots, how it can be used to determine tightness of contact structures on some 3-manifolds, and efforts to understand more about this invariant. This is an Oral Comprehensive Exam; the talk will last about 40 minutes.

Higher Prym Representations of the Mapping Class Group

Series
Geometry Topology Student Seminar
Time
Wednesday, February 20, 2013 - 11:05 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Becca WinarskiGeorgia Tech
A conjecture of Ivanov asserts that finite index subgroups of the mapping class group of higher genus surfaces have trivial rational homology. Putman and Wieland use what they call higher Prym representations, which are extensions of the representation induced by the action of the mapping class group on homology, to better understand the conjecture. In particular, they prove that if Ivanov's conjecture is true for some genus g surface, it is true for all higher genus surfaces. On the other hand, they also prove that if there is a counterexample to Ivanov's conjecture, it is of a specific form.

Hyperbolicity of the Arc and Curve Complex

Series
Geometry Topology Student Seminar
Time
Wednesday, February 13, 2013 - 13:00 for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Jamie ConwayGeorgia Tech
Given any surface, we can construct its curve complex by considering isotopy classes of curves on the surface. If the surface has boundary, we can construct its arc complex similarly, with isotopy clasess of arcs, with endpoints on the boundary. In 1999, Masur and Minsky proved that these complexes are hyperbolic, but the proof is long and involved. This talk will discuss a short proof of the hyperbolicity of the curve and arc complex recently given by Hensel, Przytycki, and Webb.

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