Prof. Terry Gannon | The truth about finite group orbifolds

Speaker: Professor Terry Gannon (University of Alberta) Date: 16th Jun 2017 - 14:30 to 15:30 Venue: INI Seminar Room 1 Title: The truth about finite group orbifolds Event: (OASW03) Subfactors, K-theory and conformal field theory Abstract: Chiral CFTs (VOAs or conformal nets) are interesting for their representation theory.Orbifolds are a standard method for constructing new chiral CFTsfrom old ones. Start witha chiral theory with trivial representation theory, and orbifold itby a finite group; the result (called a holomorphic orbifold)has the representation theory given by the twisted Drinfeld double of that finite group, where thetwist isa 3-cocycle.In practise it is hard to identify that twist.I'll begin my talk by giving some examples of orbifolds. I'll identify a well-known class of holomorphic orbifolds where we now know the twist. I'll relate holomorphic orbifolds to KK-theory as well asthe PhD thesis of a certain Vaughan Jones. Then I'll explain how any choice of finite group and 3-cocycle is realized by a chiral CFT.This is joint work with David Evans. ------------------- FOLLOW US 🌐| Website: https://www.newton.ac.uk 🎥| Main Channel:    / @isaacnewtoninstitute   🐦| Twitter:   / newtoninstitute   💬| Facebook:   / newton.institute   📷| Instagram:   / isaacnewtoninstitute   🔗| LinkedIn:   / isaac-newton-institute-for-mathematical-sc...   SEMINAR ROOMS 🥇| INI Seminar Room 1:    / @iniseminarroom1   🥈| INI Seminar Room 2:    / @iniseminarroom2   🛰️| INI Satellite Events:    / @inisatellite   ABOUT The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period. 👉 Learn more about us and our events here: https://www.newton.ac.uk