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Psyquandles, singular knots and pseudoknots

Category

Speaker

Sam Nelson (CMC)

Abstract

Singular knots are 4-valent spatial graphs considered up to rigid vertex isotopy. Pseudoknots are knots with some precrossings, classical crossings where we don't know which strand is on top. Psyquandles are a new algebraic structure which defines invariants of both singular and pseudoknots. In particular we will define the Jablan Polynomial, a generalization of the Alexander polynomial for singular/pseudoknots arising from psyquandles. This is joint work with Natsumi Oyamaguchi (Shumei University) and Radmila Sazdanovic (NCSU).

Where

Millikan 2099, Pomona College

Misc. Information

Robot Motion Planning

03/03/2010 - 4:15pm
03/03/2010 - 5:15pm
Speaker: 
Satyan Devadoss, Williams College (on sabbatical at UC Berkeley)
Abstract: 

What is the space of all possible ways a robot can move on the floor of a room? What happens when an obstacle is placed in its path? Considering such robot motions provide the foundation to attacking cutting-edge problems such as protein foldings. We shall consider, from a mathematical viewpoint, the important subject of a robot’s motion and we will analyze its most important collisions. This leads to worlds of polyhedra, tilings, string theory, and phylogenetics. This talk is heavily based on pictures and no background is needed.

Where: 
Beckman B126, Harvey Mudd College
Misc. Information: 

Coffee & Cookies at 3:45 pm in Olin B161 Harvey Mudd College
The dinner will be hosted by Professor Dagan Karp.
If interested in attending, please call ext 71264

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