To reach Pomona College from the 10 freeway, exit at Indian Hill, go north, turn right (east) on 6th street and then turn left (north) on College. To reach Pomona College from the 210 freeway, if traveling East, exit at Towne Avenue, turn right (south) on Towne, turn left (east) on Foothill Blvd, and turn right (south) onto College Avenue. If traveling West on the 210 freeway, exit at Baseline/Padua, turn right (west) onto Baseline, turn left (south) onto Padua at the first light, turn right (west) onto Foothill Blvd at the third light, turn left (south) onto College Avenue.
Parking on College Avenue is free.
For more information about the Seminar, or to suggest speakers, contact Jim Hoste , Dave Bachman , Sam Nelson , Erica Flapan or Vin de Silva.
Date  Speaker  Title and Abstract 
Tuesday
Sept 6 3:00 pm 
Organizational Meeting  Meet at Some Crust Bakery for organizational meeting. 
Tuesday
Sept 13 3:00 pm 
Christopher Tuffley Massey University Manawatu 
Title: Intrinsic linking in higher
dimensions, and with linking numbers divisible by q.
Abstract: In 1983 Conway and Gordon proved that every embedding of the complete graph K_6 in 3space contains a pair of disjoint cycles that form a nonseparable link  a fact that is expressed by saying K_6 is intrinsically linked. Since then, a number of authors have shown that embeddings of larger complete graphs necessarily exhibit more complicated linking behaviour, such as links with many components and/or large pairwise linking numbers. With some adaptions to the proofs, similar results can be established for embeddings of large ncomplexes in (2n+1)space. We will look at some of the adaptions required, in the context of proving the existence of two component links with linking number a nonzero multiple of a given integer q. In the course of this we will obtain an improved bound for n greater than or equal to 1 on the number of vertices needed to force a two component link with linking number at least q in absolute value. 
Tuesday
Sept 20 3:00 pm 
Catherine Pfaff UC Santa Barbara 
Title: When Outer Space behaves like a hyperbolic space &
how we can use this to understand the group Out(F_n). Abstract: A common strategy for studying a group is to study some object that it acts on and how it acts on this object. My favorite group is the outer automorphism group of the free group (or Out(F_n)). I will introduce this group and the object, CullerVogtmann Outer Space, that it acts on. I will also relate the study of this group acting on CullerVogtmann Outer Space to the study of the group SL(2,Z) acting on the hyperbolic plane. 
Tuesday
Sept 27 3:00 pm 
Dave Bachman Pitzer College 
Title: Heegaard Genus is NPHard Abstract: In joint work with Ryan DerbyTalbot and Eric Sedgwick, we show that the problem of determining the Heegaard genus of a 3manifold is NP hard. 
Tuesday
Oct 4 3:00 pm 
Jieon Kim Osaka City University 
Title : On biquandle cocycle invariants from marked graphs Abstracts: A quandle is a set equipped with a binary operation satisfying certain axioms derived from the Reidemeister moves in knot theory. Quandle homology and cohomology theories have been studied extensively in recent years. L.H. Kauffman and D.E. Radford introduced a generalization of quandles, called biquandles and J.S. Carter, M. Elhamdadi and M. Saito defined a (co)homology theory and cocycle invariants for biquandles. J.S. Carter, S. Kamada and M. Saito defined shadow quandle colored diagrams and shadow quandle cocycle invariants of oriented links and surfacelinks. Surfacelinks are represented by broken surface diagrams and marked graph diagrams. In this talk, we'd like to introduce shadow biquandle colorings of oriented broken surface diagrams and those of oriented marked graph diagrams, and describe shadow biquandle cocycle invariants of oriented surfacelinks via broken surface diagrams and marked graph diagrams. This is a joint work with S. Kamada, A. Kawauchi, and S.Y. Lee. 
Tuesday
Oct 11 3:00 pm 
Brittany Fasy Montana State University 
Title: Persistent Local Homology in Road Network Analysis Abstract: Topological data analysis (TDA) has rapidly grown in popularity in recent years. One of the emerging tools is persistent local homology, which can be used to extract local structure from a dataset. In this talk, we provide a definition of this new tool, along with a few applications. In particular, we investigate its use in road network analysis. 
Tuesday
Oct 18 
No Meeting  Fall Break 
Tuesday
Oct 25 3:00 pm 
Amanda Curtis UC Santa Barbara 
Title: Projectors for SL(3) Abstract: The TemperleyLieb algebra is known for its usefulness in topological quantum computation and in certain knot invariants. In today's talk, I discuss my work with a similar algebra, the algebra of SL(3) spiders, and a particularly useful set of diagrams within it. As these diagrams have analogous diagrams in the TemperleyLieb algebra, I offer a summary of the TemperleyLieb algebra and springboard from there into my discussion of the projectors for the SL(3) spider. 
Tuesday
Nov 1 3:00 pm 
Jim Hoste Pitzer College 
Title: Diagramatic Moves on 3diagrams Abstract: The classical theory of knots and links is often approached via link diagrams and Reidemeister moves. The important result is that two diagrams represent the same link if and only if they are related by a sequence of Reidemeister moves. Recently, several papers have explored the topic of link diagrams with multicrossings. In these diagrams, n strands are allowed to cross at a single point in the plane, creating what is known as an ncrossing. Many of the obvious results analogous to classical diagrams have been proven. For example, given any n>1, every link has an ndiagram, that is, one with only ncrossings. However, until now, no analog of the Reidemeister moves have yet to be found for multicrossing diagrams. In this talk I will describe a set of 3diagram moves and prove that they are sufficient to pass between any two 3diagrams of the same knot. This is joint work with Colin Adams and Martin Palmer. 
Tuesday
Nov 8 3:00 pm 
Sam Nelson Claremont McKenna College 
Title: Biquasiles and Dual Graph Diagrams Abstract: Dual graph diagrams are an alternative way to present oriented knots and links with roots in statistical mechanics. Biquasiles are algebraic structures which can be used to color dual graph diagrams analogously to quandle colorings of standard knot diagrams. In this talk we will see examples of biquasiles including a finite biquasile whose counting invariant detects the mirror image of 9_32. 
Tuesday
Nov 15 3:00 pm 
Danielle O'Donnol University of Indiana. 
Title: Legendrian thetagraphs Abstract: We will work in threespace with the standard contact structure. An embedded graph is Legendrian if it is everywhere tangent to the contact structure. I will give an overview of the invariants used in this area. Then I will talk about our recent work on classification of planar Legendrian thetagraphs. This is joint with Peter LambertCole (Indiana). 
Tuesday
Nov 22 3:00 pm 
Jose Ceniceros Louisiana State Univ. 
Title:
Legendrian/Transverse Knots and Knot Floer Homology Abstract: We will give an overview of knot theory supported in a contact 3manifold with a focus on invariants of Legendrian and transverse knots that take values in knot Floer homology. We will also extend the definition of the BRAID invariant defined by Baldwin, VelaVick, Vertesi and define a new invariant that also takes values in knot Floer homology.

Tuesday
Nov 29 3:00 pm 
Kanako Oshiro Sophia University 
Title:
Updown colorings of virtuallink diagrams and RIIdetectors Abstract: In this talk, we introduce an updown coloring of a virtuallink diagram. For two 2component virtuallink diagrams D and D', their updown colorabilities give a lower bound of the minimum number of RIImoves which are needed to transform D to D'. By using the notion of a quandle cocycle invariant, we determine the necessity of RIImoves for a pair of diagrams of the trivial virtualknot. This implies that for any virtualknot diagram D, there exists a diagram D' representing the same virtualknot such that any sequence of generalized Reidemeister moves between D and D' includes at least one RIImove. This is a joint work with Ayaka Shimizu and Yoshiro Yaguchi. 
Tuesday
Dec 6 3:00 pm 
Burak Ozbagci Koc University 
Title: Symplectic fillings of contact 3manifolds Abstract: In the first half of my talk, I will introduce various types of symplectic fillings of three dimensional contact manifolds, and give a brief overview of the results in the literature. In the second half of the talk, I will concentrate on fillings of the unit cotangent bundles of closed surfaces equipped with their canonical contact structures. In particular, I will explain my recent joint work with Youlin Li where the surfaces at hand are nonorientable. 
Date  Speaker  Title and Abstract 
Tuesday
Jan 24 3:00 pm 


Tuesday
Jan 31 3:00 pm 


Tuesday
Feb 7 3:00 pm 


Tuesday
Feb 14 3:00 pm 


Tuesday
Feb 21 3:00 pm 


Tuesday
Feb 28 3:00 pm 


Tuesday
Mar 7 3:00 pm 


Tuesday
Mar 14 
No Meeting  Spring Break 
Tuesday
Mar 21 3:00 pm 


Tuesday
Mar 28 3:00 pm 


Tuesday
Apr 4 3:00 pm 


Tuesday
Apr 11 3:00 pm 


Tuesday
Apr 18 3:00 pm 


Tuesday
Apr 25 3:00 pm 


Tuesday
May 2 3:00 pm 
