How to categorify the ring of integers with two inverted (Mikhail Khovanov, Columbia University)

11.10.2018 16:15

The category of vector spaces and linear maps can be viewed as a categorical lifting of the semiring of non-negative integers, via the dimension map. The category of chain complexes of vector spaces can similarly be interpreted as a categorical lifting (categorification) of the ring of integers, via the Euler characteristic of a complex. In this talk we'll discuss approaches to categorical liftings of rings Z[1/N] obtained from the ring Z of integers by inverting a positive number N and present such a lifting for N=2. The lecture is based on a joint work with Yin Tian.

PS. The Colloquium will be followed by an aperitif

Lieu

Acacias, Room 17

Organisé par

Section de mathématiques

Intervenants

Mikhail Khovanov, Columbia University

entrée libre

Classement

Catégorie: Colloque