WARNING: the schedule changed after cancellation of Gabriel Rivière's talk
Location: IHP, amphi Darboux
The seminar will take place in presence, but will be broadcasted via zoom:
https://us02web.zoom.us/j/89445897442?pwd=QmVZWHBiM2Nwb09yUVJERnYrSHJrUT09
10:45 Xiaohan Yan (Paris - Jussieu)
Divisor equations in quantum K-theory.
Abstract: Quantum K-theory studies a K-theoretic analogue of Gromov-Witten invariants defined as holomorphic Euler characteristics over the moduli spaces of stable maps. The K-theoretic GW invariants so defined satisfy similar axioms as their cohomological counterparts do, except the divisor equation. In genus-zero case, substitutes of the divisor equation in quantum K-theory have been proposed using the idea of toric fixed point localization and that of the so-called adelic characterization, both leading to interesting applications. For instance, explicit formulas of the J-functions of flag varieties can thus be justified, and the phenomenon named the quantum Serre duality be demonstrated. Higher-genus substitutes of the divisor equation remain however largely unknown.
14:00 Mélanie Theilliere (Luxembourg)
Le plan hyperbolique dans E^3.
Abstract: Depuis un résultat d'Hilbert-Effimov, nous savons que nous ne pouvons pas plonger isométriquement le plan hyperbolique dans l'espace euclidien de
dimension 3 de manière C^2. En revanche, le théorème de plongement
isométrique C^1 de Nash-Kuiper établit l'existence d'une infinité de tels
plongements. Dans cet exposé nous verrons la construction explicite
d'un plongement isométrique du disque de Poincaré, et nous donnerons
des résultats sur le "bord à l'infini" de ce type de plongement. Ce travail a été fait en collaboration avec l'équipe Hévéa.
https://www.concours-preuve-image.fr/linfini-trouve-toujours-son-chemin/
Next Symplectix:
Apr 7 (Benedetti, Maret, Marty) ...
Other symplectic activity in Paris:
- Séminaire Nantes-Orsay- Symplectic Zoominar (every Fridays except Symplectix' Fridays at 15:15, Paris time)
