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Topology Seminar: Mauricio Gomez Lopez (U. Oregon)

Title: Cobordism Categories and Spaces of Manifolds. Abstract: Cobordisms have been one of the central objects in topology since the pioneering work of Rene Thom, which provided the first link between manifolds and homotopy theory. In more recent years, there has been much focus on cobordism categories. These play a fundamental role in the study […]

Paper Strip Knots (David Bachman)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

I will discuss joint work with Jim Hoste, where we prove that a unique folded strip of paper can follow any polygonal knot with odd stick number. In the even stick number case there are either infinitely many, or none.

Topology Triple-Header!

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

This triple-header of topology talks will include three speakers: First, Hyeran Cho from The Ohio State University will speak about Derivation of Schubert normal forms of 2-bridge knots from (1,1)-diagrams. In this talk, we show that the dual (1, 1)-diagram of a (1, 1)-diagram (a.k.a. a two pointed genus one Heegaard diagram) D(a, 0, 1, […]

Dan Douglas (USC)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

Abstract TBA

Stefano Vidussi (UCRiverside)

Title: The BNS invariant of the fundamental group of a surface bundle over a surface. Abstract: We will discuss some new results on the Bieri-Neumann-Strebel invariant of these groups, showing in particular that (with obvious exceptions) they algebraically fiber. As a corollary, we show that for "most" bundles these groups are not coherent.

Tommaso Cremaschi (USC)

Title: Volumes and filling collections of multicurves Abstract: In this talk we will be concerned with links L in a Seifert-Fibered space N such that their projection to the base surface is a collection of curves G in minimal position. After stating a hyperbolization result, for the complement of L, in terms of G we […]

Kenneth Millett (University of California, Santa Barbara)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

Gordian Knots According to the legend of Phrygian Gordium, Alexander the Great cut the ``Gordian Knot’’ and eventually went on to rule Asia thereby fulfilling an ancient prophecy.  Where there are several descriptions of the precise nature of the Gordian Knot and Alexander’s action, an explicit mathematical treatment (the theory of thick knots) and the reasons […]

Martin Bobb (UT Austin)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

TBA