## Hodge Theory in String Theory

- Start Date: 11/18/2013
- End Date: 11/22/2013

Speaker(s):

Matthew Ballard (South Carolina)

Charles Doran (Alberta)

Michael Dettweiler (Bayreuth)

Alice Garbagnati (Milano)

Ludmil Katzarkov (Miami)

Matt Kerr (Washington U. St. Louis)

Anca Mustata (Cork)

Kefeng Liu (UCLA)

David Morrison (Santa Barbara)

Hossein Movasati (IMPA)

Greg Pearlstein (Texas A & M)

Chris Peters (Grenoble)

Giulia Sacca (Stony Brook)

Sampei Usui (Osaka)

Claire Voisin (Jussieu)

Johannes Walcher (McGill)

Kang Zuo (Mainz)

Matthew Ballard (South Carolina)

Charles Doran (Alberta)

Michael Dettweiler (Bayreuth)

Alice Garbagnati (Milano)

Ludmil Katzarkov (Miami)

Matt Kerr (Washington U. St. Louis)

Anca Mustata (Cork)

Kefeng Liu (UCLA)

David Morrison (Santa Barbara)

Hossein Movasati (IMPA)

Greg Pearlstein (Texas A & M)

Chris Peters (Grenoble)

Giulia Sacca (Stony Brook)

Sampei Usui (Osaka)

Claire Voisin (Jussieu)

Johannes Walcher (McGill)

Kang Zuo (Mainz)

Location:

Fields Institute

Topic:

This is Workshop 4 in the Thematic Program on Calabi-Yau Varieties: Arithmetic, Geometry and Physics

Description:

Hodge theory has played an important role in understanding the interaction between mathematics and physics over the past two decades. For instance, the predictions of mirror symmetry can be understood as expansions of the period integrals at the boundary of the moduli space of complex structures. This workshop aims to survey and explore the interaction between Hodge theory and physics in the understanding of Calabi-Yau varieties. Specifically, we focus on the study of moduli spaces of Calabi-Yau varieties and their compactifications from the perspective of period maps, with applications to various string dualities. Conversely, we expect that ideas from physics will lead to new insights on the mathematical side.

Topics will include (but not limited to):

• Degenerations of Hodge structures

• Compactifications of period domains

• Period maps, Picard-Fuchs differential equations

• Hodge theory and algebraic cycles

• Arithmetic properties of periods

• String theory and Hodge theory

Hodge theory has played an important role in understanding the interaction between mathematics and physics over the past two decades. For instance, the predictions of mirror symmetry can be understood as expansions of the period integrals at the boundary of the moduli space of complex structures. This workshop aims to survey and explore the interaction between Hodge theory and physics in the understanding of Calabi-Yau varieties. Specifically, we focus on the study of moduli spaces of Calabi-Yau varieties and their compactifications from the perspective of period maps, with applications to various string dualities. Conversely, we expect that ideas from physics will lead to new insights on the mathematical side.

Topics will include (but not limited to):

• Degenerations of Hodge structures

• Compactifications of period domains

• Period maps, Picard-Fuchs differential equations

• Hodge theory and algebraic cycles

• Arithmetic properties of periods

• String theory and Hodge theory

Abstracts / Downloads / Reports:

ThematicProgram-CalabiYau_Workshop4_1.pdf

Hodge_Theory_in_String_Theory.pdf

ThematicProgram-CalabiYau_Workshop4_1.pdf

Hodge_Theory_in_String_Theory.pdf

Organizers:

Charles F. Doran, David Morrison,

Radu Laza, Johannes Walcher

Other Information:

For more information, please visit: www.fields.utoronto.ca/programs/scientific/13-14/calabi-yau

This is a joint workshop with PIMS CRG Program Geometry and Physics

Sponsor: