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Department of Mathematics

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Talk_id	Date	Speaker	Title
4073	Thursday 9/7 2:00 PM	Mark Greenfield, University of Michigan	Thurston's metric on Teichmueller spaces of flat n-tori New Window Geometry and Topology Title: Thurston's metric on Teichmueller spaces of flat n-tori Date: 09/07/2017 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Speaker: Mark Greenfield, University of Michigan Several interesting metrics have been defined for Teichmueller spaces of hyperbolic surfaces. However, analogous metrics on the Teichmueller space of flat n-tori have not been as well studied. After reviewing some background on Teichmueller theory, we will define an analog of Thurston's metric for these spaces. We find that in dimension n=2, it agrees with the hyperbolic metric. In particular, this gives a new way to realize the hyperbolic plane as the moduli space of marked flat tori. Time permitting, we will describe the corresponding situation in dimension n>2. This work is joint with Lizhen Ji.
4102	Thursday 9/14 2:00 PM	Diana Hubbard, University of Michigan	On the braid index and the fractional Dehn twist coefficient New Window Geometry and Topology Title: On the braid index and the fractional Dehn twist coefficient Date: 09/14/2017 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Speaker: Diana Hubbard, University of Michigan The braid index of a knot is the least number of strands necessary to represent the knot as a closure of a braid on that many strands. If we view a braid as an element of the mapping class group of the punctured disk, its fractional Dehn twist coefficient (FDTC) is a number that measures the amount of twisting it exerts about the boundary of the disk. In this talk I will demonstrate that n-braids with FDTC larger than n-1 realize the braid index of their closure. The proof uses the concordance homomorphism Upsilon arising from knot Floer homology as a crucial tool. This is joint work with Peter Feller.
4089	Thursday 9/21 2:00 PM	Adam Jacob, UC Davis	The deformed Hermitian-Yang-Mills equation New Window Geometry and Topology Title: The deformed Hermitian-Yang-Mills equation Date: 09/21/2017 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Speaker: Adam Jacob, UC Davis In this talk I will discuss a complex generalization of the special Lagrangian graph equation of Harvey-Lawson. I will discuss methods for constructing solutions, and relate the solvability of the equation with notions of stability from symplectic and algebraic geometry. This is joint work with T.C. Collins and S.-T. Yau.
4105	Thursday 9/28 2:00 PM	Renaud Detcherry, MSU	Turaev Viro invariants and Gromov norm New Window Geometry and Topology Title: Turaev Viro invariants and Gromov norm Date: 09/28/2017 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Speaker: Renaud Detcherry, MSU According to Chen and Yang's volume conjecture, the asymptotics of the Turaev-Viro invariants of a 3-manifold predicts its hyperbolic volume. We show a compatibility between Turaev-Viro invariants and JSJ-decomposition and get an ineqality relating Turaev-Viro invariants and Gromov norm.
4124	Thursday 10/5 2:00 PM	Thomas Walpuski, MSU	Wall-crossing for the Seiberg-Witten equation with two spinors New Window Geometry and Topology Title: Wall-crossing for the Seiberg-Witten equation with two spinors Date: 10/05/2017 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Speaker: Thomas Walpuski, MSU Unlike for the classical Seiberg-Witten equation, compactness fails for the Seiberg-Witten equation with multiple spinors. This non-compactness is caused by Fueter sections with values in the moduli space of charge 1 SU(n) ASD instantons. In the simplest case, n = 2, those are Z/2 harmonic spinors. In this talk I will explain in more detail what the preceding sentences mean and then discuss the wall-crossing caused by the appearance of (non-singular) Z/2 harmonic spinors. This is joint work with Aleksander Doan.
4115	Thursday 10/19 2:00 PM	Elmas Irmak, Bowling Green State University	seminar New Window Geometry and Topology Title: seminar Date: 10/19/2017 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Speaker: Elmas Irmak, Bowling Green State University No abstract available.
5128	Thursday 11/2 2:00 PM		Meera Mainkar New Window Geometry and Topology Title: Meera Mainkar Date: 11/02/2017 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Speaker: TBA
4120	Thursday 11/16 2:00 PM	Elizabeth Munch, MSU	TBA New Window Geometry and Topology Title: TBA Date: 11/16/2017 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Speaker: Elizabeth Munch, MSU No abstract available.
5131	Thursday 11/23 2:00 PM		Thanksgiving---No seminar New Window Geometry and Topology Title: Thanksgiving---No seminar Date: 11/23/2017 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Speaker: No abstract available.
5129	Thursday 11/30 2:00 PM	J.D. Quigley, University of Notre Dame	TBA New Window Geometry and Topology Title: TBA Date: 11/30/2017 Time: 2:00 PM - 3:00 PM Place: C304 Wells Hall Speaker: J.D. Quigley, University of Notre Dame No abstract available.

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Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824
Phone: (517) 353-0844
Fax: (517) 432-1562

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