## Events

## | conference

### (Ir)regular singularities and Quantum Field Theory

### July 8-11, 2019

### Lisbon University, Department of Mathematics

The main theme of the conference is the **(generalised) monodromy of meromorphic connections**, and its links to **quantum field theory**. These include the ODE/IM (or ODE/IQFT) correspondence, the relation between opers and the Bethe Ansatz equations, the analysis of anharmonic oscillators in the realm of PT symmetric and exactly solvable quantum mechanics, the relation between Painlevé equations and conformal field theories.

This will be a great occasion to celebrate the 50th anniversary of the paper “Anharmonic Oscillator” by C. Bender and T. Wu and the 20th anniversary of the discovery of the ODE/IM correspondence.

D. Masoero (Lisboa)

T. Sutherland (Lisboa)

R. Tateo (Torino)

V. Bazhanov (Canberra)

C. Bender (St. Louis)

P. Boalch (Paris-Sud)

G. De Nittis (Santiago del Chile)

P. Dorey (Durham)

C. Dunning (Kent)

A. Eremenko (Purdue)

E. Frenkel (Berkeley)*

A. Grassi (Stony Brook)

D. Hernandez (Paris 7)

O. Lisovyi (Tours)

S. Lukyanov (Rutgers)

M. Luu (Davis)

M. Mariño (Genève)

E. Mukhin (Purdue)

S. Nampuri (Lisbon)

S. Negro (Stony Brook)

A. Raimondo (Milano-Bicocca)

J. Suzuki (Shizuoka)*

V. Tarasov (Purdue)

M. Tierz (Lisbon)

B. Vicedo (York)

* participation cancelled

S. Baldino (Lisbon)

V. Bazhanov (Canberra)

C. Bender (St. Louis)

P. Boalch (Paris-Sud)

C. Camara (Lisboa)

G. Lopes Cardoso (Lisboa)

R. Conti (Torino)

G. De Nittis (Santiago del Chile)

P. Dorey (Durham)

J. Douçot (Paris-Sud)

C. Dunning (Kent)

A. Eremenko (Purdue)

C. Florentino (Lisbon)

A. Grassi (Stony Brook)

D. Hernandez (Paris 7)

O. Lisovyi (Tours)

S. Lukyanov (Rutgers)

M. Luu (Davis)

M. Mariño (Genève)

J. Cidade Mourão(Lisboa)

N. Faustino (UFABC, São Bernardo do Campo)

E. Frenkel (Berkeley)

D. Masoero (Lisboa)

A. Mikovic (Lisboa)

E. Mukhin (Purdue-Indianapolis)

S. Nampuri (Lisbon)

S. Negro (Stony Brook)

A. Pereira (Lisboa)

R. Picken (Lisbon)

J. Pimentel Nunes (Lisboa)

A. Prata (Lisboa)

A. Raimondo (Milano-Bicocca)

G. Rupp (Lisboa)

M. Rosselló (Lisboa)

L. Santilli (Lisboa)

R. Schiappa (Lisboa)

M. Schwick (Lisbon)

J. P. Silva (Lisboa)

T. Sutherland (Mainz)

V. Tarasov (Purdue-Indianapolis)

R. Tateo (Torino)

M. Tierz (Lisbon)

R. Vega (Lisbon)

B. Vicedo (York)

C. Young (Hertfordshire)

###### Talks

##### (Irregular) conformal blocks and Painlevé functions

Oleg Lisovyi (Université de Tours)

##### A new perspective on resurgence in quantum theory

Marcos Mariño (Université de Genève)

##### Analytic continuation of TBA equation

Patrick Dorey (University of Durham)

##### Bethe state norms for the Heisenberg spin chain in the scaling limit

Sergey Lukyanov (Rutgers University)

##### Counting N=2 black holes and modular forms

Suresh Nampuri (Universidade de Lisboa)

##### Feigin-Frenkel image of WittenKontsevich points

Martin T. Luu (University of California Davis)

##### Fredholm determinants from Topological String Theory

Alba Grassi (Stony Brook University)

##### Fuchsian equations with three nonapparent singularities

Vitaly Tarasov (Purdue University)

##### Irrevelant perturbations of 2D integrable models

Roberto Tateo (Università di Torino)

##### Large N phase transition and TT deformation of 2d Yang-Mills theory

Leonardo Santilli (Universidade de Lisboa)

##### Local Hamiltonians for deformed W algebras

Evgeny Mukhin (Purdue University)

##### Non-ultralocality, affine Gaudin models and ODE/IM

Benoit Vicedo (University of York)

##### Nonlinear eigenvalue problems and PT symmetry

Carl M. Bender (Washington University in St. Louis)

##### On the scaling behaviour of the alternating spin chain

Vladimir Bazhanov (Australian National University)

##### Opers for higher states of quantum KdV models

Andrea Raimondo (Università di Milano-Bicocca)

##### PT-symmetric eigenvalues for homogeneous potentials

Alexandre Emerenko (Purdue University)

##### Quantum Butterflies: Filling the white with colors

Guiseppe De Nittis (Universidad Católica de Chile)

##### Spectra of quantum KdV Hamiltonians, Langlands duality and category O (joint work with Edward Frenkel)

David Hernandez (Université Paris-Diderot)

##### The TT deformation: a gentle introduction

Stefano Negro (Stony Brook University)

##### TQFT approach to meromorphic connections – Fission via irregular singularities

Philip Boalch (Université Paris-Sud)

##### Wronskian orthogonal polynomials

Clare Dunning (University of Kent)

###### Conference supported by

**FCT projects: PTDC/MAT-PUR/30234/2017, IF/00069/2015, UID/MAT/00208/2019**