SCIENTIFIC PROGRAMS AND ACTIVITIES

THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES

July–December 2013 Thematic Program on Calabi-Yau Varieties: Arithmetic, Geometry and Physics Host by the Fields Institute (map) Organizing Committee Mark Gross, UC San Diego  Sergei Gukov, UC Santa Barbara  Radu Laza, Stony Brook University    Matthias Schütt, Leibniz University Hannover   Johannes Walcher, McGill University   Shing-Tung Yau, Harvard University Noriko Yui, Queen’s University i

The program will start with an introductory summer school and center around four workshops on the following topics:
• Modular forms around string theory
• Enumerative geometry and Calabi–Yau varieties
• Physics around Mirror Symmetry
• Hodge theory in String Theory

Each workshop will be preceded by one week of introductory lectures; during the remaining time we will run seminars, colloquia and other activities. We anticipate that Workshop 2 and 3 will be held back-to-back as joint activities with the Perimeter Institute. Workshop 4 is organized jointly with PIMS CRG Program “Geometry and Physics”.

Introductory summer school in July or August 2013:
Calabi-Yau varieties; Arithmetic, Geometry and Physics

This one-week introductory summer school will prepare postdoctoral fellows, graduate students and general members to a level where they can participate fully in the program activities. This will include lectures on historical developments, background material, as well as topics in current research fronts. Lectures may mainly be delivered by organizers with contributions from other participants.

Workshops

The program will center around four week-long workshops as focal points of the thematic organization.

Workshop 1 Modular forms around string theory
Principal Organizers: Charles F. Doran, Matthias Schütt and NorikoYui

Workshops 2 & 3 will be organized jointly with the Perimeter Institute. In order to ease participation in both workshops, they will be held back-to-back, one at the Fields Institute and the other at the Perimeter Institute.

Workshop 2 Enumerative geometry and Calabi–Yau varieties
Topics : Algebraic geometry, Symplectic geometry, Tropical geometry.
Principal Organizers: Mark Gross, Radu Laza, Jaume Gomis, Shing-Tung Yau.

Workshop 3 Physics around Mirror Symmetry
Principal Organizers: Vincent Bouchard, Jaume Gomis, Sergei Gukov, Johannes Walcher, Shing-Tung Yau.

Workshop 4 Hodge Theory in String Theory
(a joint workshop with PIMS CRG Program “Geometry and Physics”)
Principal Organizers: Charles F. Doran, Stefan Müller-Stach, Radu Laza, Johannes Walcher.

Graduate courses

Each workshop will be preceeded by a 1-2 week graduate course comprising 10-15 lectures by the principal organizers and workshop attendees. While the courses can be attended just by themselves, they are meant at the same time as a preparation for the upcoming workshop.

Seminars and colloquia

In-between workshops we will run several regular seminars and colloquia. There will be a weekly research seminar aimed at members and postdoctoral fellows. It will be accompanied by study seminars (mainly for postdocs and students) and mini-symposia as the need arises. Colloquia will be organized on a roughly biweekly schedule with the possible exception of workshops.

Coxeter Lecture and Distinguished Lectures

TBA

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