Categoria:
Seminari di Algebra e Geometria
Data e ora inizio evento:
Data e ora fine evento:
Aula:
Sala di Consiglio
Sede:
Dipartimento di Matematica, Sapienza Università di Roma
Speaker:
Sarah Scherotzke (Université du Luxembourg)
The Chern character is a central construction which appears in topology, representation
theory and algebraic geometry.
In algebraic topology it is for instance used to probe algebraic K-theory which is notoriously
hard to compute, in representation theory it takes the form of classical character theory.
Recently, Toen and Vezzosi suggested a construction, using derived algebraic geometry,
which allows to unify the various Chern characters.
We will categorify this Chern character. In the categorified picture algebraic K-theory is
replaced by the category of non-commutative motives. It turns out that the categorified
Chern character has many interesting applications. For instance we show that the DeRham
realisation functor is of non-commutative origin.