Speaker
Anya Nordskova
(Kavli IPMU)
Description
I will present an example of a smooth projective variety $X$ for which the
braid group action on the set of full exceptional collections in $D^b(X)$
is not transitive and in fact has infinitely many orbits. Although the idea
behind the construction is quite simple and the example is not at all
exotic, this is the first case where such non-transitivity has been observed
in the realm of smooth projective varieties. If time permits, I will also
comment on another curious "disconnectedness" phenomenon. Namely, I will
try to explain why the space of Bridgeland stability conditions
$\operatorname{Stab}(X)$ on $X$ has infinitely many connected components.