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Invited talk

Wednesday, July 21, 14:45 ~ 15:45 UTC-3

Quantum Toric Geometry

Ernesto Lupercio

Center for Research and Advanced Studies IPN Mexico (Cinvestav), Mexico   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk I will introduce a (non-commutative) generalization to the field of toric geometry that we have developed in collaboration with Katzarkov, Meersseman and Verjovsky. Just as classical toric manifolds are made up of real and complex tori, Quantum Toric Manifolds are made up of quantum tori. The talk will be a friendly tour of the field at a colloquium level. We add some final remarks relating this to complex systems and tropical geometry. This is mainly based on "Quantum (Non-commutative) Toric Geometry: Foundations" (arxiv:2002.03876).

Joint work with Ludmil Katzarkov (University of Miami), Laurent Meersseman (University of Angers, France) and Alberto Verjovsky (UNAM).

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