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America/New_York

Description

Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics

Simons Foundation

Gerald D. Fischbach Auditorium, 2nd Floor

160 Fifth Avenue at 21st Street

New York, NY 10010

Organizer: Robert Bryant

The study of the geometry of higher dimensional spaces, important in many applications, both theoretical and applied, has led to an understanding of their properties in terms of *holonomy*, a way of describing global effects of curvature. Those geometric spaces with 'special' (i.e., reduced) holonomy have come to play a fundamental role in partial differential equations, algebraic geometry, calculus of variations, topology, and theoretical physics, often revealing connections between these subjects that are yielding new insights in both mathematics and physics.

The 2021 annual meeting of the Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics will highlight and explain the progress in the theory of spaces with special holonomy that has been made in recent years by the Collaboration, focussing on the construction of new examples; the increasing role of limiting constructions, particularly solitons and limits of Ricci-flat spaces; moduli spaces and BPS invariants; and connections with physics. We will also describe the goals of our continuing research program as well as the challenges that lie ahead.

Speakers:

Mohammed Abouzaid, Columbia University

Bobby Acharya, Kings College London & ICTP

Mirjam Cvetic, University of Pennsylvania

Zero modes of Higgs bundles on local Spin(7) manifolds

Mark Haskins, Duke University

Solitons in Bryant’s Laplacian flow

Jason Lotay, Oxford University

Some remarks on contact Calabi–Yau 7-manifolds

David Morrison, UC-Santa Barbara

Non-Perturbative heterotic duals of M-Theory on $G_2$ orbifolds)

Thomas Walpuski, Humboldt University of Berlin

The Gopakumar–Vafa finiteness conjecture

Ruobing Zhang, Princeton University

The agenda of this meeting is empty