Vés al contingut (premeu Retorn)

Sou a: Inici / Esdeveniments / Seminari "Quantum sledgehammers to crack character nuts" (To honour the memory of Marc Hérault)

Seminari "Quantum sledgehammers to crack character nuts" (To honour the memory of Marc Hérault)

Xerrada de quantització per part d'un col·laborador de Madrid, l'Ángel González Prieto, que serà a Barcelona i el que explicarà que pot ser d'interès per l'alumnat de la facultat! A més, aquesta xerrada serà en honor al Marc Hérault, que havia d'anar aquest estiu a col·laborar en els mateixos temes de recerca a Madrid.

18/05/2022 de 13:00 a 14:00
URL de l'esdeveniment
Lloc web relacionat
Afegeix un esdeveniment al calendari
Speaker: Ángel González Prieto
Títol: Quantum sledgehammers to crack character nuts. (To honour the memory of Marc Hérault)
Hora: Dimecres 18 a les 13:00h
Lloc: Aula A1 del CRM
Abstract: Despite their close relation with moduli spaces of Higgs bundles and flat connections through the non-abelian Hodge correspondence, the algebraic structure of moduli spaces of representations of surfaces groups, aka character varieties (our hard nut), remains being a mystery in many cases. To address this problem, in this talk we shall explain how to construct Topological Quantum Field Theories (our sophisticated and very powerful sledgehammer) to crack this problem and others in algebraic topology.Topological Quantum Field Theories were introduced by Witten to interpret the Jones polynomial, a knot invariant, in terms of Chern-Simmons theory. This construction, which also involves character varieties, was carried out through geometric quantization. In sharp contrast, our quantization will be inspired by Fourier-Mukai transformations of sheaves, which leads to new and exciting ways of computing motivic information of the character variety. Time permitting, we shall also discuss the emerging interference phenomena arising in parabolic character varieties.
Marc Hérault was a member of the Lab of Geometry and Dynamics. A charismatic double Math-Phys student of CFIS at UPC who was about to start his TFG in cosupervision with Sergei Gukov at Caltech. His endless passion for mathematics and physics remains an inspiration for our team. His smile and enthusiasm accompany and encourage our daily research. This talk is the second talk to honor his memory