Hyperbolic Band Structures and Moduli Spaces

Abstract: I will discuss my recent works involving the use of ideas from differential and complex algebraic geometry to anticipate new models of 2-dimensional quantum materials, generalizing topological materials, with an emphasis on the development of a hyperbolic analogue of electronic band theory.  In the process, we will develop a dictionary between well-known moduli spaces of data on Riemann surfaces on the one side and condensed matter properties on the other, with a view to invariants encoding physical behaviours. I will briefly outline recent attempts to synthesize such materials in my recent collaborations with experimental and engineering physicists.

Note : The room is PK-5675 and the date : Monday 17th of November.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

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CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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