[geometry-ml:06904] 数理解析研究所セミナーのお知らせ(6/29)

[Noriaki Ikeda]

各位

下記の通り，6月29日（月）10:30から京都大学数研セミナーが以下のようにおこなわれますのでお知らせいたします。

日時: 6月29日（月） 10:30～11:30
会場: 京都大学数理解析研究所206号室

Speaker: Kai Behrend (University of British Columbia)

Title: Point counting on the non-commutative Fermat quintic

Abstract:  Calabi-Yau threefolds provide a natural setting for the 
enumerative geometry of curves. A naive dimension count suggests that 
the number of curves should be finite; however, the actual geometry is 
far more intricate and has been the subject of intensive study over the 
past thirty years. In this talk, we investigate non-commutative 
analogues of this setting. We consider non-commutative projective 
varieties and construct moduli spaces of stable modules over them. In 
the three-dimensional Calabi-Yau case, this gives rise to 
non-commutative analogues of Donaldson-Thomas “sheaf counting” invariants.
The simplest example is the Fermat quintic in quantum projective space, 
where the coordinates commute up to carefully chosen fifth roots of 
unity. We explore the moduli theory of finite length modules. This mixes 
features of the Hilbert scheme of commutative threefolds, with the 
representation theory of quivers. This is joint work with Yu-Hsiang Liu, 
with contributions by Atsushi Kanazawa.


https://www.kurims.kyoto-u.ac.jp/en/seminar/seminar-ikeda.html

池田憲明
京都大学数理解析研究所、立命館大学