RECENT PROGRESS IN TWISTED REAL STRUCTURES FOR SPECTRAL TRIPLES

Speaker(s)

ADAM M. MAGEE

Affiliation

SISSA

Date

May 26, 2021, 5:15 p.m.

Information about the event

Seminar 2021-05-26 17:15:00

Seminar

North Atlantic Noncommutative Geometry Seminar

---

Within the approach to NCG based on Connes' spectral triples, real spectral triples, where the addition of a so-called real structure allows the differentiation between spin^c and spin structures and refines the K-homology, are of particular interest. Twisted real structures are a generalisation of these real structures. In this talk, I will give an introduction to real structures, and explain the motivation for 'twisting' them coming from noncommutative conformal rescalings, along with reviewing recent work in this direction. I will then focus on some new applications to Riemannian manifolds and spectral gauge theory on almost-commutative spaces as well as connections to twisted spectral triples. In this vein, I will then touch on ongoing work including applications of twisted real structures to twisted spectral triples.

https://www.youtube.com/watch?v=e5lwBydld7s

---