| Language |
English
|
| From |
2013/11/29 10:30
|
| To |
2013/11/29 12:00
|
| Place | Room 152, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | Algebra Geometrical Seminar |
| Title |
On braiding criteria for spherical twists |
| Field |
Algebra
Geometry
|
| Speakers | Timothy Logvinenko |
| Affiliation | Cardiff University |
| Abstract | Spherical twists are certain autoequivalences of the
derived category D(X) of an algebraic variety X. Each such
twist is defined by a functor D(Z) -> D(X), where Z
is some other variety. In geometrical case, this functor
is defined by a subvariety of X flatly fibered over Z.
In this talk I will first give a short introduction
to these twists, recalling ther definition and construction.
Then I will explain sufficient criteria for several
such twists to define a categorical action of the braid
group on D(X). I will first give these in general
form, which applies to the twists defined by any abstract
functors. Then I give a geometrical interpretation for
the case when the twists are defined by fibered subvarieties
of X as above. This is joint work with Rina Anno (UPitt). |
| Link | http://www.math.kyoto-u.ac.jp/~abetaku/agseminar.htm |
|