Generalised Geometry, Moment Maps and Stability: How Physics Can Guide Us to New Slopes

Explore a one-hour seminar presentation by Ms. Stephanie Baines from Imperial College London examining the intersection of physics and geometry through the AdS/CFT correspondence in string theory. Delve into the relationship between algebraic structures and Einstein's equations solutions, focusing on how non-commutative Calabi-Yau algebras connect to extensions of conventional geometries. Learn about new geometries emerging from supersymmetry, encoded through moment maps for diffeomorphism group extensions, and discover a novel approach to understanding Sasaki-Einstein spaces through unstable objects. Examine how this mathematical framework provides insights into a-maximisation in CFT through Hilbert-Mumford slope maximization, building upon Martelli-Sparks-Yau's construction. Participate in an interactive discussion exploring these complex mathematical concepts and their implications for both physics and geometry.