Universal quantizations of nilpotent Slodowy slices

Add to your list(s) Download to your calendar using vCal

• Lewis Topley
• Thursday 04 June 2020, 16:00-17:00
• https://bham-ac-uk.zoom.us/j/92610684996?pwd=K2FKV2dpczhXSUdvUllqNnlYMVlEUT09.

If you have a question about this talk, please contact Chris Parker.

Finite dimensional complex simple Lie algebras are classified by Dynkin diagrams. The simply laced diagrams also classify the finite subgroups of SL2 which, in turn, give rise to a nice family of singular algebraic varieties: the Kleinian singularities. A conjecture of Grothendieck, proven by Brieskorn, states that the Kleinian singularity of Dynkin type X can be constructed as the subregular transverse slice to the nilpotent cone in the corresponding Lie algebra. In fact the transverse slice gives rise to a versal deformation of the Kleinian singularity. At the same time the transverse slices are quantized by finite W-algebras. Recently, in a joint work with Ambrosio, Carnovale, Esposito, we have proven a quantum analogue of Brieskorn’s theorem, proving a universal property for the finite W-algebra. In this talk I will give a gentle introduction to the theory and explain our main result and applications.

Christopher Parker is inviting you to a scheduled Zoom meeting.

Topic: Birmingham Algebra Seminar Time: This is a recurring meeting Meet anytime

Join Zoom Meeting https://bham-ac-uk.zoom.us/j/92610684996?pwd=K2FKV2dpczhXSUdvUllqNnlYMVlEUT09

Meeting ID: 926 1068 4996 Password: 707841 One tap mobile +441314601196,,92610684996#,,1#,707841# United Kingdom +442034815237,,92610684996#,,1#,707841# United Kingdom

Dial by your location +44 131 460 1196 United Kingdom +44 203 481 5237 United Kingdom +44 203 481 5240 United Kingdom +44 208 080 6591 United Kingdom +44 208 080 6592 United Kingdom +44 330 088 5830 United Kingdom Meeting ID: 926 1068 4996 Password: 707841 Find your local number: https://bham-ac-uk.zoom.us/u/aboGEy1isR

This talk is part of the Algebra Seminar series.

This talk is included in these lists:

• Algebra Seminar
• School of Mathematics Events
• https://bham-ac-uk.zoom.us/j/92610684996?pwd=K2FKV2dpczhXSUdvUllqNnlYMVlEUT09

Note that ex-directory lists are not shown.