Events

Upcoming or ongoing organised events:

September 11 - 16 2023. T.R.I.este 2023: Topological Recursion and Integrability in Trieste

We are excited to announce TRIeste 2023, a School + Workshop on Topological Recursion and Integrability which will take place on September 11th - 16th 2023 in Trieste, in the North-East of Italy, at the University of Trieste, at IGAP and at SISSA.

TRIeste 2023 wants to promote synergies between different research groups and different areas of physics and mathematics related to topological recursion and integrable systems. It aims to provide value to communities which are new to the topics, to researchers that already have some experience in the field, and to the very experts.

We launched the TRINO Geometry Seminar in Trieste (ICTP + SISSA + UniTS): check it out!

Algebraic Geometry PhD and Master School at Kampala University, Uganda, 14 - 21 Aug 2023

Les Houches: a Four Weeks Programme on Topological Recursion and Applications, August 2024.

Recently organised events:

2023 African STACK conference at Masinde Muliro University for Science and Technology, 19 - 23 June, Kakamega, Kenya.

Conference in Algebraic Geometry Refined invariants in Moduli Theory , SISSA + UniTS, Trieste 2 - 5 May 2023.


The main theme of this workshop is Enumerative Geometry, with particular emphasis on the geometry of moduli spaces and their refined invariants. The workshop consists in several plenary talks given by international experts, and aims to foster the collaboration among researchers interested in Enumerative Geometry in a broad sense.

Double event: Admcycles coding workshop + Moduli Spaces of curves conference in Les Diablerets, 27 Feb - 4 Mar 2023.

September 5 - 6 2022. Conference TRSalento22: https://sites.google.com/view/tr-salento-2022/home

We are excited to announce TR Salento 2022, a School + Workshop on Topological Recursion and related topics which will take place on September 5th - 16th 2022 in Otranto, Salento region, in the South of Italy.

TR Salento 2022 wants to promote synergies between different research groups and different areas of physics and mathematics related to topological recursion, integrable systems, and resurgence. It aims to provide value to communities which are new to the topics, to researchers that already have some experience in the field, and to the very experts.

That is the reason why the event has been designed in three different parts, each of which lasts four days and can be attended independently:

poster_oTRanto22.pdf

Part I: Basic Courses, Sep 5 - 8

Introductory courses on Topological recursion and matrix models (B. Eynard), Moduli space of curves and its intersection theory (N.K. Chidambaram), Resurgence (P. Gregori).

Each day consists of 4 hours of lectures in the morning and a 2 hour exercise session in the afternoon. Each day consists of 4 hours of lectures in the morning and a 2 hour exercise session in the afternoon, except for Wednesday (free afternoon).

Target Audience: graduate students/young researchers new to the topics.

Part II: Advanced Courses, Sep 9 - 13

Advanced courses on Quantum geometry of Fuchsian systems (R. Belliard), Reducible topological recursion (R. Kramer), Hamiltonian systems and Dubrovin–Frobenius manifolds (P. Lorenzoni), Super topological recursion (K. Osuga).

Target Audience: graduate students/young researchers new to the topics and researchers that already have some experience in the field.

Part III: Open-problem collaboration-centered workshop, Sep 14 - 16

During the first day several open problems submitted in advance will be proposed to the participants, which will have the possibility to discuss them in small groups during the rest of the workshop. 

Target participants: researchers who have already been active either in the fields mentioned above or have reasonable connections to them.

1. Workshop Coding intersection theory (on invitation and for young researchers, to develop original code extending the admcycles Sage package for intersection on moduli spaces of curves) 

Organised with Johannes Schmitt at Les Diablerets, Les Sources Hotel, Switzerland, 13 - 18 March 2022.




2. Workshop Recent Advances in moduli spaces of curves (on invitation)

Organised with Alessandro Giacchetto and Paolo Rossi at Leysin, Alpine Classic Hotel, Switzerland, 18 - 24 March 2022. 


Both events were funded by the SNF Ambizione Project "Resurgent Topological Recursion, Enumerative Geometry and Integrable Hierarchies" (2021–2025).



3. Cross-pollination community of practice workshop on maths education 

Organised with Franca Hoffmann, Herine Otieno, and David Stern in at AIMS Rwanda, Kigali, Rwanda, 26 - 30 March 2022.

The workshop is a follow up to the Cross-Pollination event at AIMS Ghana in 2019. 


The event was funded by the SNF Ambizione Project "Resurgent Topological Recursion, Enumerative Geometry and Integrable Hierarchies" (2021–2025), by Caltech (Franca Hoffmann start-up funding), by AIMS Rwanda, and by the UK-based charity Supporting African Maths Initiatives.


Conference TRSalento21:

We are excited to announce TR Salento 2021, a School + Workshop on Topological Recursion and related topics which will take place on September 6th - 17th 2021 in Otranto, Salento region, in the South of Italy.

TR Salento 2021 wants to promote synergies between different research groups and different areas of physics and mathematics related to topological recursion, integrable systems, and resurgence. It aims to provide value to communities which are new to the topics, to researchers that already have some experience in the field, and to the very experts.

That is the reason why the event has been designed in three different parts, each of which lasts four days and can be attended independently:


Part I: Basic Courses, Sep 6 - 9

Introductory courses on topological recursion, integrable systems, Hurwitz theory and enumeration of maps. Each day consists of 4 hours of lectures in the morning and a 2 hour exercise session in the afternoon, except for Wednesday (free afternoon).

Target Audience: graduate students/young researchers new to the topics.

Part II: Advanced Courses, Sep 10 - 13

Advanced courses on topological recursion, integrable systems, Givental formalism and cohomological field theories, and generalised cycles on spectral curves. Each day consists of 4 hours of lectures in the morning and a 2 hour exercise session in the afternoon, except for Sunday (social activity).

Target Audience: graduate students/young researchers new to the topics and researchers that already have some experience in the field.

Part III: Open-problem collaboration-centered workshop, Sep 14 - 17

During the first day several open problems submitted in advance will be proposed to the participants, which will have the possibility to discuss them in small groups during the rest of the workshop.

Target participants: researchers who have already been active either in the fields mentioned above or have reasonable connections to them.

Picture taken at TRSalento2021 after a caves boat trip, participants of the advanced school (Part II) + collaborative workshop (Part III). (credit: Baptiste Louf). 

2021 Nairobi Workshop in Algebraic Geometry

Organisers: Jared Ongaro (U Nairobi), Diletta Martinelli (U Amsterdam), Balazs Szendroi (U Oxford). I was invited to deliver a mini-course on moduli spaces of curves. Workshop website. Workshop website2.

Past events organised:

Geometric Recursion Seminar (Max Planck Institut für Mathematik in Bonn, 2018, talks video-recorded). With Alessandro Giacchetto.

Geometric Recursion (GR) is a fairly new technique that extends the usual Topological Recursion (TR) theory by means of Teichmüller theory, and relates to several results of Maryam Mirzakhani. It sits in the interplay between many areas of mathematics as mathematical physics, algebraic geometry and category theory. 

The first part of the learning seminar aims to define and introduce GR. The second part of the seminar is more open and it will be tailored during the first weeks according to the taste of the participants towards open research questions.


Weighted Hurwitz numbers & Topological Recursion (Max Planck Institut für Mathematik in Bonn, 2019).  With Dan Betea.

Hurwitz theory provides an excellent set of enumerative geometric problems related to topological recursion theory. 

The reason is two-fold: these problems are numerous, and they are related —  this makes possible to learn from the already solved problems to better approach the unsolved ones. Several of them have been proved to satisfy topological recursion, for others the statement remains conjectural and in some cases has been tested computationally.

In 2016 Alexandrov, Chapuy, Eynard, and Harnad (ACEH) propose a general formula (ACEH Formula) for the topological recursion spectral curve valid for a certain class of Hurwitz problems, and investigate it throughout three papers. The main goal of the learning seminar is to understand this trilogy of papers.