;00
TTU Home Arts & Sciences Home

Seminars and Colloquia In the College of Arts & Sciences

 

Department of Mathematics and Statistics

Colluquium

Jozef Przytycki

The George Washington University
“From Knots to Homological Algebra of Distributive Structures”
 
Tuesday, April 15, 2014 at 4:00 p.m. in CH 101
Refreshments will be served in Math 238 at 3:30 p.m.
 
Abstract
While homology theory of associative structures, such as groups and rings, has been extensively studied in the past beginning with the work of Hurewicz, Hopf, Eilenberg, and Hochschild, the non-associative structures, such as racks or quandles, were neglected until recently. The distributive structures have been studied for a long time and al- ready C.S. Peirce in 1880 emphasized the importance of (right) self-distributivity in algebraic structures. However, homology for such universal algebras was introduced only between 1990 and 1995 by Fenn, Rourke, and Sanderson. We develop theory in the historical context and propose a general framework to study homology of distributive structures. To this aim we define a (very) weak simplicial module and study its property. We outline potential relations to Khovanov homology and categorification, via Yang-Baxter operators. We use here the fact that Yang-Baxter equation can be thought of as a generalization of self-distributivity.

 

Seminars:

Monday – April 14
Analysis Seminar
  Location: Joint seminar on Wednesday with applied math
  Time:  
  Speaker:  
  Topic:  

 

Monday – April 14
Geometry Seminar
  Location: No Seminar This Week
  Time:  
  Speaker:  
  Topic:  

 

Monday – April 14
Statistics Seminar
  Location: No Seminar This Week
  Time:  
  Speaker:  
  Topic:  

 

 

Tuesday April 15
Biomathematics Seminar
  Location: No Seminar This Week
  Time:  
  Speaker:  
  Topic:  

 

Tuesday April 15
Logic-Topology Seminar
  Location: No Seminar This Week
  Time:  
  Speaker:  
  Topic:  

 

Tuesday April 15
Math Education Seminar
  Location: MATH 115
  Time: 4:30-5:30pm
  Speaker: Amy Tackitt
  Topic: “From Crabs to Fat: The Chemistry of Weight Gain”

 

Wednesday – April 16
Joint Seminar – Analysis & Applied Math Seminar
  Location: MATH 111
  Time: 4:00-5:30pm
  Speaker: Hongwei Wang Mikhail Surnachev, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
  Topic: “On the Density of Smooth Functions in Weighted Sobolev Spaces with Variable Exponent”


Wednesday – April 16
Statistical Genetics Seminar
  Location: MATH 012
  Time: 4:00-5:00pm
  Speaker: Dai Jiexin
  Topic: “Bayesian Multiple QTL Mapping”

 

Wednesday – April 16
Image Understanding & Shape Analysis Seminar
  Location: MATH 115
  Time: 3:00-4:00pm
  Speaker: Wenzhen Fan
  Topic: "Smoothing splines on the manifold of lines in R^2"

 

Thursday – April 17
Systems & Control Seminar
  Location: MATH 012
  Time: 2:30-4:00pm
  Speaker: Methma Rajamuni
  Topic: “Optimal Control Problems in Binocular Vision”

 

Thursday – April 17
SIAM Talk
  Location: No Seminar This Week
  Time:  
  Speaker:  
  Topic:  

 

Friday - April 18
Algebra Seminar
  Location: No Seminar This Week
  Time:  
  Speaker:  
  Topic:  

 

Friday - April 18
Statistical Genetics Seminar
  Location: No Seminar This Week
  Time:  
  Speaker:  
  Topic:  

 

 

Department of Physics

TBA
  Location:  
  Time:  
  Speaker:  
  Topic: