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Ahina Nandy

Some Remarks on the Special Linear and Metalinear Algebraic Cobordism
Lundi, 27 Janvier, 2025 - 14:00
Résumé : 

In classical topology, different cobordism theories can be thought of as uni- versal cohomology theories with certain orientations. For example, complex cobordism MU is the universal complex oriented cohomology theory; that is cohomology theories with Thom isomorphism for every complex vector bundle. The analogous idea of different notions of orientations, and corresponding alge- braic cobordism theories are well studied in $\mathbb{A}^1$-homotopy theory. I will mostly talk about special linear, and “metalinear” orientations, and their corresponding universal algebraic theories in the context of $\mathbb{A}^1$-homotopy theory. I would like to report on some ongoing computations of stable homotopy groups of special and metalinear algebraic cobordism. This is joint work in progress with Egor Zolotarev.

 

Thème de recherche : 
Algèbre et géométries
Salle : 
4
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