Charley Cummings

University of Bristol


Generation of the derived module category


Algebra Seminar


3rd March 2021, 2:30 pm – 3:30 pm
Online, Zoom


Given a ring, it can be difficult to know how complicated its representation theory is. One way to measure the complexity is to calculate a numerical invariant of the ring called the finitistic dimension. In the 60s it was conjectured that the finitistic dimension of a finite dimensional algebra is finite; a claim that remains unproven today. At first glance this conjecture looks like a question simply concerning the modules of a ring, however, in 2019, Rickard proved that this conjecture can be reformulated into a question about a generation property of the derived module category. In this talk we will consider this generation property and look at its interaction with various ring constructions including triangular matrix algebras.






Comments are closed.
css.php