Geometry/Topology Seminar Schedule

Please see the following for more related talks:

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

Upcoming Seminars:
• 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)

Geometry and Topology at Duke

More information about geometry and topology at Duke can be obtained by consulting the pages:
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