セミナー

発表言語 英語
開催日 2013年11月29日 10時30分
終了日 2013年11月29日 12時00分
開催場所京都大学理学部3号館 (数学教室) 152号室
セミナー名代数幾何学セミナー
タイトル On braiding criteria for spherical twists 
分野 代数
幾何
講演者名Timothy Logvinenko
講演者所属Cardiff University
概要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).
リンクhttps://www.math.kyoto-u.ac.jp/~abetaku/agseminar.htm