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Summer School in Enumerative Geometry in Italy

created by daniele on 11 Nov 2016

3 jul 2017 - 7 jul 2017

Trieste

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It is a pleasure to announce the school:

SSiEG - Summer School in Enumerative Geometry

Trieste,

July 3 - 7 2017.

INVITED LECTURERS:

Chiu-Chu Melissa Liu - Columbia University

Course title: Gromov-Witten invariants, Fan-Jarvis-Ruan-Witten invariants, and Mixed-Spin-P fields

Cristina Manolache - Imperial College London

Course title: Boundary contributions to enumerative invariants

General description and aims of the school:

Gromov-Witten invariants, which "count" curves (with appropriate extra conditions) on smooth projective varieties, were introduced more than two decades ago; motivated by high energy physics, they ended up revolutionising enumerative algebraic geometry and provided a bridge to other branches of mathematics, such as integrable systems of differential equations.

Since then, their scope has been expanded in different directions (e.g. relaxing the smoothness conditions, replacing the variety by a stack, allowing torus actions), and techniques have been introduced for their computation; moreover, a plethora of other invariants using the same basic ideas has been introduced, leading to fruitful investigations on the relationships among them.

The aim of this school is to bring doctoral students, postdocs, and anyone interested from a review of the basic construction to current, state-of-the art research in this field, with a special focus on invariants for Calabi-Yau threefolds, the richest example both in algebraic geometry and in physics. Many important questions about these varieties are still unanswered, such as giving a mathematically rigorous definition of the Gopakumar-Vafa invariants (at the moment only available in the language of theoretical physics).

To maximise learning, the school will be very focused, with five lectures each from the two invited lecturers as well as afternoon tutoring sessions. A detailed program will be made available on the course website http://people.sissa.it/~aborale/ssieg/homessieg.html

This school is part of an ongoing series to support the participation of women in Mathematical Research.

Partial board will be available for a limited number of participants. Women are expressly encouraged to apply. Deadline for funding request: March 15th 2017

There will be the possibility for short contributed talks. The deadline for sending a talk proposal is March 15th 2017.

ORGANIZING COMMITTEE:

Valentina Beorchia, Trieste
Ada Boralevi, Sissa Trieste
Barbara Fantechi, Sissa Trieste

The conference is supported by Sissa.

The conference will start on Monday 3 rd July 2017, in the morning, and end on Friday 7th July 2017 at lunch time.

Application deadline: May 31st 2017

To register, apply for fundings, and to send a talk proposal, write an email to:

SSiEG2017@gmail.com

The School website is http://people.sissa.it/~aborale/ssieg/homessieg.html

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