Departement Mathematik

Symplectic geometry seminar

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Frühjahrssemester 2020

Datum / Zeit Referent:in Titel Ort
17. Februar 2020
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar
Referent:in, Affiliation
Datum, Zeit 17. Februar 2020, 15:15-16:30
Ort HG G 43
no seminar
HG G 43
24. Februar 2020
15:15-16:30 		Damien Gayet
Institut Fourier, Université de Grenoble
Details

Symplectic Geometry Seminar

Titel Systoles and Lagrangians of random projective hypersurfaces
Referent:in, Affiliation Damien Gayet, Institut Fourier, Université de Grenoble
Datum, Zeit 24. Februar 2020, 15:15-16:30
Ort HG G 43
Abstract The smooth degree $d$ complex curves of $\mathbb C P^2$ are Riemann surfaces of the same genus. If we equip them with the restriction of the ambient metric and choose them at random,what can be say about the length of their systole? I will explain that the probability that the systole is of the order $d^{-1/2}$ is bounded from below by a uniform positive constant, which gives an analogous result to one of Mirzakhani's theorem on random hyperbolic curves. Quite surprisingly, in higher dimensions, similar probabilistic arguments provide a new \emph{deterministic} result about Lagrangian submanifolds and the topology of complex projective hypersurfaces.
Systoles and Lagrangians of random projective hypersurfacesread_more
HG G 43
2. März 2020
15:15-16:30 		Chris Woodward
Rutgers University
Details

Symplectic Geometry Seminar

Titel Tropical Fukaya algebras
Referent:in, Affiliation Chris Woodward, Rutgers University
Datum, Zeit 2. März 2020, 15:15-16:30
Ort HG G 43
Abstract Joint with S. Venugopalan. A long-time expectation is that quantum cohomology decomposes into summands corresponding to transitions in the minimal model program. The categorical analog is that the Fukaya category has a similar decomposition, which in some sense is easier since one can often identify objects corresponding to the transitions. I will talk about a new tool that can be used to prove the existence of objects, called the "tropical Fukaya algebra", whose structure maps are sums of products of weights of vertices of tropical graphs (which already appeared in work of B. Parker .....) As a corollary we prove that any "tropical toric moment fiber" is weakly unobstructed. I will give some examples.
Tropical Fukaya algebrasread_more
HG G 43
9. März 2020
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar
Referent:in, Affiliation
Datum, Zeit 9. März 2020, 15:15-16:30
Ort HG G 43
no seminar
HG G 43
16. März 2020
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar
Referent:in, Affiliation
Datum, Zeit 16. März 2020, 15:15-16:30
Ort HG G 43
no seminar
HG G 43
23. März 2020
15:15-16:30
Details

Symplectic Geometry Seminar

Titel no seminar
Referent:in, Affiliation
Datum, Zeit 23. März 2020, 15:15-16:30
Ort HG G 43
no seminar
HG G 43

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