Paris Diderot Sorbonne Université CNRS

Séminaire de Topologie

Approximable triangulated categories

Amnon Neeman - Australian National University

mardi 21 mai 2019 à 10:30
Bâtiment Sophie Germain - salle 1016

The main part of the talk will discuss a new, technical tool - we will explain the notion of "approximable triangulated categories". And relevant for us will be

  1. There are many interesting examples, for instance the homotopy category of spectra.
  2. There are general structure theorems about approximable triangulated categories, which specialize to very useful and surprising facts about the examples.

We will illustrate the achievements of the theory (so far) with a proof of a conjecture by Bondal and Van den Bergh, improvements to results by Rouquier, and an indication how an old idea of Adams - suitably generalized - can be used to give a one-page proof of Serre’s GAGA theorem.

Autres séances