The Geometry/Topology seminar is organized this academic year (2017-2018) by Ákos Nagy and Michael Abel

- Monday, September 23, 2019, 3:15pm, 119 Physics, Geometry Seminar
*A refinement of the Lefschetz decomposition for hyperkahler manifolds*

Colleen Robles (Duke U)- The cohomology (with complex coefficients) of a compact kahler manifold M admits an action of the algebra sl(2,C), and this action plays an essential role in the analysis of the cohomology. In the case that M is a hyperkahler manifold Verbitsky and Looijenga—Lunts showed there is a family of such sl(2,C)’s generating an algebra isomorphic to so(4,b_2-2), and this algebra similarly can tell us quite a bit about the cohomology of the hyperkahler. I will describe some results of this nature for both the Hodge numbers and Nagai’s conjecture on the nilpotent logarithm of monodromy arising from a degeneration. This is joint work with Mark Green, Radu Laza and Yoonjoo Kim.

- Monday, September 30, 2019, 3:15pm, 119 Physics, Triangle Topology Seminar
*DGA Representations, Ruling Polynomials, and the Colored HOMFLY-PT Polynomial*

Caitlin Leverson (Georgia Tech)- Given a pattern braid $\beta\in J^1(S^1)$, to any Legendrian knot $\Lambda$ in $\mathbb{R}^3$ with the standard contact structure, we can associate the Legendrian satellite knot $S(\Lambda,\beta)$. We will discuss the relationship between counts of augmentations of the ChekanovEliashberg differential graded algebra of $S(\Lambda,\beta)$ and counts of certain representations of the algebra of $\Lambda$. We will then define an $m$graded $n$colored ruling polynomial from the $m$graded ruling polynomial, analogously to how the $n$colored HOMFLYPT polynomial is defined from the HOMFLYPT polynomial, and extend results of the second author, to show that the $2$graded $n$colored ruling polynomial appears as a specialization of the $n$colored HOMFLYPT polynomial. This is joint work with Dan Rutherford.

- Monday, October 7, 2019, 3:15pm, 119 Physics, Geometry/topology Seminar
*FALL BREAK*

N/A - Monday, October 14, 2019, 3:15pm, Physics 119, Geometry/topology Seminar
*TBA*

Tom Bachmann (Massachusetts Institute of Technology, Mathematics)- TBA

- Monday, October 21, 2019, 3:15pm, 119 Physics, Geometry/topology Seminar
*TBA*

Casey Lynn Kelleher (Princeton)- TBA

- Wednesday, October 23, 2019, 3:15pm, Physics 119, Frontiers In Mathematics Seminar
*Frontiers in Mathematics Seminar*

Lisa Piccirillo - Friday, October 25, 2019, 12:00pm, Physics 119, Frontiers In Mathematics Seminar
*Frontiers in Mathematics Seminar*

Lisa Piccirillo - Monday, October 28, 2019, 3:15pm, 119 Physics, Triangle Topology Seminar
*TBA*

Tom Hockenhull (University of Glasgow, Mathematics) - Monday, November 4, 2019, 3:15pm, 119 Physics, Geometry/topology Seminar
*TBA*

Daniel Stern (University of Toronto)- TBA

- Monday, November 11, 2019, 3:15pm, 119 Physics, Triangle Topology Seminar
*TBA*

Arunima Ray (Max Planck Institute for Mathematics) - Monday, November 18, 2019, 3:15pm, 119 Physics, Geometry/topology Seminar
*TBD*

Aleksander Doan (Columbia/Cambridge)- TBA

- Monday, November 25, 2019, 3:15pm, 119 Physics, Geometry/topology Seminar
*TBA*

Shubham Dwivedi (University of Waterloo)- TBA

- Monday, December 2, 2019, 3:15pm, 119 Physics, Triangle Topology Seminar
*TBA*

Maggie Miller (Princeton University, Mathematics)

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