Damien Gayet's online Colloquium: "Systoles and Lagrangians of random complex projective hypersurfaces"
Antonio Lerario
lerario at sissa.it
Fri May 1 11:06:27 CEST 2020
Dear all,
this is to announce our next seminar from the SISSA Mathematical Glimpses,
the mathematical online colloquia hosted by our department:
Speaker: Damien Gayet (Institut Fourier)
Title: Systoles and Lagrangians of random complex projective hypersurfaces
Date and venue: May 6 at 4pm, https://us04web.zoom.us/j/678774239
Meeting ID: 678 774 239
Abstract: Let $\Sigma\subset \mathbb{R}^n$ be a connected smooth compact
hypersurface with non-vanishing Euler characteristic (which implies that
$n$ is odd). I will explain that for any $d$ large enough, the homology of
any degree $d$ complex hypersurface of $\mathbb{C}P^n$ possesses a basis
such that a uniform positive proportion of its members can be represented
by a submanifold diffeomorphic to $\Sigma$.
Quite surprisingly, the proof is of probabilistic nature.
You can find the list of the forthcoming talk of this series at this link:
https://docs.google.com/spreadsheets/d/1IoYznrVQR-rrjvrjtJkl5catZZqIFV6Zo9_BdlxZSiw/edit#gid=0
See you online!
Antonio
--
*http://people.sissa.it/~lerario <http://people.sissa.it/~lerario>*
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