THEMATIC PROGRAM
on Homological Algebra of
Mirror Symmetry
July-December 2019
ABOUT COURSES
Mirror Symmetry is a phenomenon
first observed to occur in High-energy
Theoretical Physics. Since the early
90s, mirror symmetry has been
used to solve difficult mathematical
problems known as curve-counting or
enumerative questions in Algebraic
Geometry. In his 1994 ICM address,
Kontsevich proposed that mediating the
rich geometry of Mirror Symmetry was
abstract foundational mathematics which
amounts to a categorical equivalence.
From this sprang the conjecture of
Homological Mirror Symmetry (HMS). • Dean’s Distinguished Visiting Professorship:
Xenia de la Ossa Osegueda - Sep 6-Dec 6, 2019
HMS views two very different areas of
mathematics, Symplectic Geometry and
Algebraic Geometry, as opposite sides of
the same categorical coin. Today, HMS is
the cornerstone of an extremely active
research field, reaching in influence
far beyond its original formulation as a
duality between Calabi-Yau manifolds, to
such subjects as representation theory,
singularity theory, and knot theory. At
the core of the HMS research community
are three different groups of researchers:
algebraic geometers, symplectic
geometers, and mathematical physicists. • Workshop on Higher Structures in Geometry
and Physics - Nov 18-22, 2019
This Thematic Program will focus on
teaching young researchers all aspects
of the field and will bring together
algebraic geometers, symplectic
geometers, and mathematical physicists
from around the world who focus on
the most modern aspects of HMS with
an emphasis on engagement with
students and young researchers.
EVENTS
• Graduate Summer School on Homological Algebra
of Mirror Symmetry - Jul 29 - Aug 2, 2019
• Undergraduate Summer School on Homological
Algebra of Mirror Symmetry - Jul 29 - Aug 2, 2019
• New Structures in Algebraic Geometry and their
Symplectic Interpretations - Aug 6-9, 2019
• The Geometry and Algebra of Landau-
Ginzburg Models - Sep 16-20, 2019
• Coxeter Lecture Series: Kenji Fukaya
- Dec 2, 4 and 6, 2019
REGISTRATION
fields.utoronto.ca/activities/19-20/mirrorsymmetry
ORGANIZERS
Mohammed Abouzaid, Columbia University
Matthew Ballard, University of South Carolina
Kevin Costello, Perimeter Institute
David Favero, University of Alberta
Ludmil Katzarkov, University of Miami
and University of Vienna
Ailsa Keating, University of Cambridge
Tony Pantev, University of Pennsylvania
Johannes Walcher, Universität Heidelberg
Ursula Whitcher, American Mathematical
Society and University of Michigan