ICTP-IGAP Workshop on Deformation Theory II | (smr 3874) (11-15 September 2023)

Administration

Description

An ICTP meeting in presence (by invitation only)

This is the second meeting of our group formed by mathematicians and physicists, focusing on deformation theory.

We will discuss a variety of topics:

the classical theory of Kodaira about deformations of complex structures of varieties,
the classical theory of and Kuranishi about deformations of vector bundles,
their modern noncommutative counterparts,
deformations of Landau--Ginzburg models,
their role in both the symplectic and algebraic geometric sides of Homological Mirror Symmetry,
and at each step we will investigate the interplay with Physics.

The program includes minicourses and talks by members of the group.

Lecturers:
K. FUKAYA, Simons Center for Geometry and Physics, USA
M. GROSS, University of Cambridge, UK
C. WOODWARD, Rutgers University, USA

Speakers:
J. CRUZ MORALES, Universidad Nacional de Colombia, Colombia
E. GASPARIM, Universidad Católica del Norte, Chile
L. GOETTSCHE, ICTP, Italy
A. GOMEZ VILLEGAS, University of Hamburg, Germany
S. GUKOV, California Institute of Technology, USA
C. LAS HERAS, Instituto de Física Teórica UAM-CSIC, Spain
R. PICCIOTTO, University of Cambridge, UK
V. PRZYJALKOWSKI, Steklov Institute and Laboratory of Mirror Symmetry, Russia
F. RUBILAR, Universidad Católica de la Santísima Concepción, Chile
H. RUDDAT, University of Stavanger, Norway
C. SAEMANN, Heriot Watt University, UK
B. SZENDRŐI, University of Vienna, Austria
B. SUZUKI, Universidade de São Paulo, Brazil
C. VAREA, Universidade Tecnológica Federal do Paraná, Brazil

Material

Final list of participants Group photo Poster

ICTP-IGAP Workshop on Deformation Theory II | (smr 3874)

Go to day

Monday, 11 September 2023

08:30 - 09:00

08:30 Registration formalities 30'

Registration: Upon arrival, Visitors not staying in the ICTP Guest Houses, are kindly requested to complete registration formalities at the Leonardo Building (Lobby) from 8.30 to 9.00.

09:00 - 17:30

09:00 Introduction to Intrinsic Mirror Symmetry 1 1h0'

Speaker:	Mark GROSS (University of Cambridge, UK)
Material:	Video

10:00 Coffee break 30'

10:30 Spectral decomposition of Fukaya categories and open-closed maps 1 1h0'

Speaker:	Chris WOODWARD (Rutgers University, USA)
Material:	Video

11:30 Lunch break 3h30'

15:00 Perturbative Quantum Field Theory with Homotopy Algebras 1h0'

Speaker:	Christian SAEMANN (Heriot Watt University, UK)
Material:	Abstract Video

16:00 Coffee break 30'

16:30 3-manifolds and Vafa-Witten theory 1h0'

Speaker:	Sergei GUKOV (California Institute of Technology, USA)
Material:	Abstract Video

19:00 - 20:30
- 19:00 Welcome dinner 1h30' ( Adriatico Guest House - Cafeteria )
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All participants are cordially invited to the Welcome dinner.
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Tuesday, 12 September 2023

09:00 - 17:30

09:00 Lecture 1: Exact Immersed Lagrangian Floer theory 1h0'

Speaker:	Kenji FUKAYA (Simons Center for Geometry and Physics, USA)
Material:	Abstract Video

10:00 Coffee break 30'

10:30 Deformations of Calabi-Yau manifolds and their mirrors 1h0'

Speaker:	Elizabeth GASPARIM (Universidad Catolica del Norte, Chile)
Material:	Video

11:30 Lunch break 3h30'
15:00 Noncommutative deformations of some Calabi-Yau threefolds 45'

Speaker: Bruno SUZUKI (Universidade de Sao Paulo, Brazil)
15:45 Coffee break 15'

16:00 The H-flux on flag manifolds generated by infinitesimal T-duality 45'

Speaker:	Carlos VAREA (Universidade Tecnologica Federal do Parana, Brazil)
Material:	Video

16:45 Strings, branes and supergravities from M2-branes with fluxes 45'

Speaker:	Camilo LAS HERAS (Instituto de Fisica Teorica UAM-CSIC, Spain)
Material:	Video

Wednesday, 13 September 2023

09:00 - 12:30

09:00 Introduction to Intrinsic Mirror Symmetry 2 1h0'

Speaker:	Mark GROSS (University of Cambridge, UK)
Material:	Video

10:00 Coffee break 30'

10:30 Spectral decomposition of Fukaya categories and open-closed maps 2 1h0'

Speaker:	Chris WOODWARD (Rutgers University, USA)
Material:	Video

11:30 Examples of non-smoothable toroidal crossing varieties with singular log structures 1h0'

Speaker:	Andres GOMEZ VILLEGAS (University of Hamburg, Germany)
Material:	Video

Thursday, 14 September 2023

09:00 - 17:30

09:00 Lecture 2: Exact Immersed Lagrangian Floer theory 1h0'

Speaker:	Kenji FUKAYA (Simons Center for Geometry and Physics, USA)
Material:	Video

10:00 Group photo 5'
10:05 Coffee break 25'

10:30 Deformations of Landau--Ginzburg models 1h0'

Speaker:	Victor PRZYJALKOWSKI (Steklov Institute and Laboratory of Mirror Symmetry, Russia)
Material:	Video

11:30 Lunch break 3h30'

15:00 Deformation theory of noncompact Calabi - Yau manifolds 45'

Speaker:	Francisco RUBILAR (Universidad Catolica de la Santisima Concepcion, Chile)
Material:	Video

15:45 Coffee break 15'
16:00 Studying moduli spaces via derived algebraic geometry 45'

Speaker: Renata PICCIOTTO (University of Cambridge, UK)
16:45 Some remarks on mirror symmetry for Hitchin systems 45'

Speaker: John Alexander CRUZ MORALES (Universidad Nacional de Colombia, Colombia)

Friday, 15 September 2023

09:00 - 17:30

09:00 Introduction to Intrinsic Mirror Symmetry 3 1h0'

Speaker:	Mark GROSS (University of Cambridge, UK)
Material:	Video

10:00 Coffee break 30'

10:30 Spectral decomposition of Fukaya categories and open-closed maps 3 1h0'

Speaker:	Chris WOODWARD (Rutgers University, USA)
Material:	Video

11:30 Lunch break 3h30'

15:00 How to make log structures 1h0'

Speaker:	Helge RUDDAT (University of Stavanger, Norway)
Material:	Video

16:00 Coffee break 30'

16:30 Verlinde and Segre formula for moduli spaces of sheaves on surfaces 1h0'

Speaker:	Lothar GOETTSCHE (ICTP, Italy)
Material:	Video