Geometry Seminars: Giovanni Bazzoni and Fabio Tanania

G2 structures on nilmanifolds and their moduli spaces / Characteristic classes in motivic homotopy theory

Friday 13 December, from 2 pm in Room 2109 (2nd Floor) - U5 Building, Giovanni Bazzoni (UnInsubria) and Fabio Tanania (TU Darmstadt) will hold the following seminars

 

Speaker: Giovanni Bazzoni

Title: G2 structures on nilmanifolds and their moduli spaces

Abstract: In this talk I will review non-integrable G2 structures on 7-dimensional nilmanifolds. I will dwell on purely coclosed G2 structures, constructing them from certain SU(3) structures in dimension 6. Also, I will illustrate some results on moduli spaces of (co)closed G2 structures on nilmanifolds. This is based on joint work with A. Garvín, A. Gil García and V. Muñoz.

 

Speaker: Fabio Tanania

Title: Characteristic classes in motivic homotopy theory

Abstract: In this talk, I will give a brief introduction to the category of motivic spaces, highlighting some of its key features. I will then focus on classifying spaces of linear algebraic groups and discuss computations of their motivic cohomology rings, which yield various types of characteristic classes. Throughout the talk, the primary example will be provided by orthogonal groups (and also special orthogonal and spin groups), with their associated motivic Stiefel-Whitney classes, which provide invariants for quadratic forms.

 

All interested are invited to participate


For more information, visit the website

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