We prove that it is impossible to have two continuous rules telling how to move between any two points on the circle in such a way that the path from Q to P is the reverse of the path from P to Q. It is easy to see that this can be done with three such rules.

# Algebraic Topology Seminar

For more information on this seminar, contact William Browder or Tony Bahri (Rider).

**Please click on seminar title for complete abstract.**

##### Symmetrized topological complexity of the circle

Lehigh University

##### Topology of Character Varieties

Character varieties parametrize conjugacy classes of representations of discrete groups into algebraic groups. I'll discuss some recent result on the topology of these varieties.

IUPUI

##### On some Poisson aspects of moduli stack of Chen connections

The study of the Poisson geometry of the Teichmuller space and the moduli space of local systems gave rise to the discovery of the Goldman bracket of curves on a surface which in turn led Chas and Sullivan to discover string topology operations on chains on the free loop space of

LIU and CUNY

##### TBA - Boris Botvinnik

**This is a joint Algebraic Topology / Topology seminar. **

University of Oregon

##### TBA - Boris Botvinnik

**This is a joint Topology / Algebraic Topology seminar.**

University of Oregon