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 5, 2017 3:00 pm 
Organizational Meeting  Meet at Some Crust Bakery for organizational meeting. 
Tuesday
Sept 12, 2017 3:00 pm 
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Tuesday
Sept 19, 2017 3:00 pm 
Allison K Henrich Seattle University 
Title: An Intransitive Relation on Knots Abstract: In this talk, we will introduce and explore the following relation on knots. A knot D is said to be a descendant of another knot P if there is a minimal crossing diagram of P on which some subset of crossings can be changed to produce a diagram of D. In this case, P is said to be a parent of D. The descendantparent relation has many interesting propertiesfor instance, intransitivityand it enjoys useful connections with other previously studied relations on knots. We explore several such properties and connections, and we provide a variety of computational results. This is joint work with Jason Cantarella, Elsa Magness, Oliver O’Keefe, Kayla Perez, Eric Rawdon, and Briana Zimmer. 
Tuesday
Sept 26, 2017 3:00 pm 
Sam Nelson Claremont McKenna College 
Title: Psyquandles, Singular Knots and Pseudoknots Abstract: Singular knots are 4valent 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). 
Tuesday
Oct 3, 2017 3:00 pm 
Ellie Dannenberg Pomona College 
Title: Circle Packings on Surfaces with Complex Projective Structures. Abstract: The classical circle packing theorem of Koebe, Andreev, and Thurston says that given a triangulation $\tau$ of a closed, orientable surface, there is a unique constant curvature Riemannian metric on the surface so that the surface with this metric admits a circle packing with dual graph $\tau$. Kojima, Mizushima, and Tan give a definition of a circle packing on surfaces with complex projective structures. Unlike in the metric case, there is a deformation space of complex projective circle packings with combinatorics given by $\tau$. They conjecture that this space is homeomorphic to Teichmuller space. I'll present progress towards this conjecture for certain classes of triangulations. Abstract: 
Tuesday
Oct 10, 2017 3:00 pm 
Teddy Einstein Cornell University 
Title: Hierarchies of NonPositively Curved Cube Complexes Abstract: A nonpositively curved (NPC) cube complex is a combinatorial complex constructed by gluing Euclidean cubes along faces in a way that satisfies a combinatorial local nonpositive curvature condition. A hierarchy is an inductive method of decomposing the fundamental group of a cube complex. Cube complexes and hierarchies of cube complexes have been studied extensively by Wise and feature prominently in Agol's proof of the Virtual Haken Conjecture for hyperbolic 3manifolds. Abstract: 
Tuesday
Oct 17, 2017 3:00 pm 
No Meeting  Fall Break 
Monday
Oct 23, 2017 3:00 pm 
John Stillwell University of San Francisco 
History of Mathematics Seminar 
Tuesday
Oct 24, 2017 3:00 pm 
Aaron MazelGee USC 
Title:Ktheory and traces Abstract: A vector bundle over a topological space X is a family of vector spaces parametrized by X. The study of spaces through their vector bundles is called topological Ktheory. If the space has a more algebraic flavor, then we can also study its algebraic Ktheory; for example, on a complex manifold we can restrict to holomorphic vector bundles. As Ktheory can be very difficult to compute, we are quite lucky to have an assortment of ``trace maps'' (in the sense of traces of matrices) that compare it to more computable invariants. In particular, the cyclotomic trace is responsible for the vast majority of computations of algebraic Ktheory. However, despite its importance, there has been no geometric basis for the cyclotomic trace: it has just served as an extremely useful but conceptually unmotivated tool. In this talk, I will give an overview of Ktheory and traces, with the end goal of explaining forthcoming joint work with David Ayala and Nick Rozenblyum that provides a precise geometric explanation of the cyclotomic trace. 
Tuesday
Oct 31, 2017 3:00 pm 
Iris Yoon  Title:
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Tuesday
Nov 7, 2017 3:00 pm 
Radmila Sazdanovic North Carolina State University 
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Tuesday
Nov 14, 2017 3:00 pm 
Dmitri Gekhtman Cal Tech 
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Holomorphic retractions onto Teichmuller disks. Abstract: A complex manifold is a space built by gluing patches of complex coordinate coordinate space using holomorphic transition maps. There is a finitedimensional space of ways to equip a closed surface with the structure of a complex manifold. This space of complex structures is called the Teichmuller space of the surface. It turns out that the Teichmüller space is itself a complex manifold. In this talk, we will see how the topology and geometry of a surface is reflected in the complexanalytic structure of its Teichmuller space. We will see how polygonal decompositions of the surface give rise to holomorphically embedded copies of the unit disk inside of Teichmuller space. These embedded disks are called Teichmuller disks. We will describe some recent results which give partial answers to the following question: Which Teichmuller disks are holomorphic retracts of Teichmuller space? 
Tuesday
Nov 21, 2017 3:00 pm 
Yen Duong

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Tuesday
Nov 28, 2017 3:00 pm 
James Conant  Title:
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Tuesday
Dec 5, 2017 3:00 pm 
Dave Bachman Pitzer College 
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Tuesday
Jan 23, 2018 3:00 pm 
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Tuesday
Jan 30, 2018 3:00 pm 
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Tuesday
Feb 6, 2018 3:00 pm 
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Tuesday
Feb 13, 2018 3:00 pm 
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Tuesday
Feb 20, 2018 3:00 pm 
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Tuesday
Feb 27, 2018 3:00 pm 
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Tuesday
Mar 6, 2018 3:00 pm 
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Tuesday
Mar 13, 2018 3:00 pm 
No Meeting  Spring Break 
Tuesday
Mar 20, 2018 3:00 pm 
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Tuesday
Mar 27, 2018 3:00 pm 
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Tuesday
Apr 3, 2018 3:00 pm 
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Tuesday
Apr 10, 2018 3:00 pm 
no seminar this week  
Tuesday
Apr 17, 2018 3:00 pm 
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Tuesday
Apr 24, 2018 3:00 pm 
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Tuesday
May 1, 2018 3:00 pm 
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