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Thursday, September 25, 2014

Tensor triangular Chow groups

Sebastian Klein (UU)

Abstract: I will give an introduction to the main themes of my Ph.D. thesis, in which a theory of Chow groups for tensor triangulated categories is developed. First, I will discuss some examples of tensor triangulated categories from representation theory (stable module categories) and algebraic geometry (derived categories of perfect complexes). Then I will recall the concept of Chow groups of an algebraic variety and show how "tensor triangular geometry" can be used to generalize these invariants to a categorical setting. As a small application, I will show that the stable module category of the Klein four-group does not arise as the derived category of perfect complexes of any algebraic variety.

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Location :  Room 611 of the Hans Freudenthal building, formerly known as the Wiskunde/Maths building, (campus De Uithof) Budapestlaan 6, Utrecht.
Date and time : Thursday, September 25, 2014 15:30-16:30. The lecture is preceded by coffee, tea, and cookies from 15.00 to 15.30 hour in the same room.