**The venue for April 24 and April 29 will be changed into R. 515

1. Course Outline & Descriptions

(1) I will explain deformations of sheaves over non-commutative (NC) base. The point is that there are more NC deformations than usual (C) deformations, and NC deformations yield more invariants. The moduli space of sheaves become larger in the sense that it has additional formal structure.

(2) I will explain deformations of a usual variety, based on commutative algebra, to NC varieties. Though the localizations of NC algebras are usually not possible, the deformations are constructed by gluing NC associative algebras. I will also consider NC deformations of McKay correspondence.

2. Registration

https://forms.gle/UmbeVZRMYktHxKfA9

3. Online Meeting Link

April 17

https://ntucc.webex.com/ntucc-en/j.php?MTID=m6db93858157c1e683347bf7b9f533fcd

April 24

https://ntucc.webex.com/ntucc-en/j.php?MTID=m3dda794d7f709605e14679428ee305f4

April 29

https://ntucc.webex.com/ntucc-en/j.php?MTID=mc24ffd50fc000636a1c5eef25d4136bd