Skip to Main Content

Topology Seminar, Fall 2017

Research Banner

The Topology Seminar will meet on Fridays, usually alternating with the AGC seminar, 3:00 p.m. – 4:00 p.m. in room  MB 124 (Mathematics Building). Below you find the information for the topology talks. Everybody who is interested is invited to join. Please send email to ukaiser@boisestate.edu for more information.

August 25: All participants
Title: Conjectures and Planning

September 1:  Jens Harlander
Title: The Geometric Realization Problem

Abstract: Homology can be thought of as an algebraic shadow of geometry and topology. How coarse is that image? Surprisingly, not as much information gets lost as is to be expected, especially in higher dimensions. Dimension 2 however remains problematic. In my talk I will introduce the geometric realization problem and survey what is known.

September 15: Uwe Kaiser
Title: A Survey of the Volume Conjecture in Knot Theory

Abstract: In 1996 Kashaev conjectured that the growth rate of a sequence of knot invariants, which he recently defined, is up to a constant equal to the hyperbolic volume of a hyperbolic knot. In 2001 Jun Murakami and Hitoshi Murakami proved that the conjecture could be stated in terms of evaluations of colored Jones polynomials at roots of unity, and can be extended to all knots. The conjecture is important because it relates the geometry/topology of 3-manifolds with its quantum invariants. Meanwhile many generalizations of the conjecture have been formulated.  But even the original conjecture has been proven for only few hyperbolic knots.
The talk will trace back the history of Kashaev’s invariant to Euler’s dilogarithm function and also mention recent attempts at its proof.  

September 29: tba 
Title: tba

Abstract: tba

October 6: tba
Title: tba 

Abstract: tba

October 27: Kayla Neal
Title: tba

Abstract: tba

November 10: tba
Title: tba

Abstract: tba

December 8: tba
Title: tba

Abstract: tba

 

brunnian3 brunnian4

Please go to the AGC seminar homepage for further information.