Title: Manifolds with Special Holonomy

Abstract : Manifolds with special holonomy, such as Calabi–Yau and G₂
manifolds, are Riemannian manifolds whose holonomy groups are
contained in SU(n) (for n = 2m) and the exceptional Lie group G₂ (for
n = 7), respectively. These spaces arise naturally as Ricci-flat
examples in differential geometry and play a central role in
theoretical physics, particularly in M-theory compactifications.
M-theory, often described as a candidate for a "theory of
everything'', aims to unify the fundamental forces of nature:
electromagnetism, gravity, and the strong and weak nuclear forces.

Calibrated submanifolds within Calabi–Yau and G₂ manifolds are volume
minimizing in their homology classes, and their moduli spaces have
deep applications in geometry, topology, and physics. In this talk, we
will begin with a brief introduction to Calabi–Yau and G₂ manifolds,
and then report on recent research exploring the rich interplay
between symplectic, contact, and calibrated structures in manifolds
with special holonomy.
 

Date: Friday, May 9, 2025
Time: 13:00
Place: Online (the Google Meet link will be sent later)

Listing: https://researchseminars.org/seminar/7tepemathseminars