# Symmetries in Mathematics and Physics II

IMPA, Rio de Janeiro, de 24/06 até 28/06

## Certificates

## List of all Registered Participants

## Organizing Committee

Bojko Bakalov (NCSU)

Carina Boyallian (Famaf)

Nicoletta Cantarini (Bologna)

Pavel Etingof (MIT)

Vyacheslav Futorny (USP)

Reimundo Heluani (IMPA)

## Past Events

## Posters

Matthew Bennett (IMECC – UNICAMP)

Tilting modules for the current algebra of a simple Lie algebra

Angelo Calil Bianchi (IMECC – UNICAMP)

Finite-dimensional representations of generalized hyperalgebras

Matheus Brito (IMECC)

Snake modules of type B_n and polynomial representations of gl(2n|1)

Fernando Studzinski Carvalho (UFPR)

Group Actions on Riemann Surfaces

Jack Arce Flores (PUCP)

Twisted tensor products with k[y+-1] and Hopf algebras

Kostiantyn Iusenko (UFABC)

On the Hall algebra of representations of bound quivers over F1

Iryna Kashuba (IME – USP)

Free field realizations of induced modules for affine Lie algebras

Alexandre Grichkov (IME – USP)

New simple Lie algebras over a field of characteristic two.

Ivan Kaygorodov (IME – USP)

Analogues of classical theorems for generalizations of Poisson algebras

Zhanna Kuznetsova (UFABC)

D-module Representations of N=2,4,8 Superconformal Algebras and Their Superconformal Mechanics

Artem Lopatin IMECC (UNICAMP)

Classical invariant theory for linear groups in modular case

Tiago Rodrigues Macedo (IMECC – UNICAMP)

Characters of representations of hyper algebras

Thais Mayumi Batista Makuta (UFPR)

Algebras Extensions by Hopf Algebras

Renato Alessandro Martins (IME-USP)

Free field realizations of induced modules for affine Lie algebras

Germán Benitez Monsalve (Instituto de Matemática e Estatística, IME/USP)

Um Estudo sobre a Categoria Derivada de Algebras String

Adriano Adrega de Moura (IMECC – UNICAMP)

Prime representations from a homolgical perspective

Fernanda de Andrade Pereira (IMECC – UNICAMP)

The total order on the set of equivalence classes of affinizations of U_q(sl_2)-modules

Alexandre Ferreira Ramos (EACH – USP)

Symmetry and Stochastic Gene Regulation

Roldão da Rocha (UFABC)

Kac -Moody Algebras in the non-Associative Clifford Bundle on S7 and Hopf Maps

Liudmila Sabinina (UAEM)

Halfautomorpisms and Code Loops

Victor Hugo López Solís (Instituto de Matemática e Estatística)

Álgebras Envelopantes e O Teorema de Poincaré – Birkhoff – Witt.

Francesco Toppan(CBPF)

Critical scaling for D-module representations of superconformal algebras and constraints on superconformal mechanics

Evan Wilson (IME – USP)

Soliton cellular automata associated with Dn(1)-crystal B2;s

## Program

## Speakers

**Title and Abstracts**

Tomoyuki Arakawa (Rims, Kyoto)

W-algebras and Vinberg’s problem for centralizers

Bojko Bakalov

Kac-Wakimoto hierarchies and W-constraints

Nathan Berkovits (UNESP, Brazil)

Twisting the superstring

Alexander Braverman (Brown, Providence)

Instantons and W-algebras

Shun-Jen Cheng (Sinica, Taipei)

Irreducible characters of the general Lie superalgebras

Alberto De Sole (La Sapienza, Rome)

Classical W-algebras

Edward Frenkel (UC, Berkeley)

Baxter relations and polynomiality of transfer-matrices

Dennis Gaitsgory (Harvard, Cambridge)

One (vertex) ring to rule them all: a chiral (vertex) algebra responsible for quantum geometric Langlands correspondence

Maria Gorelik (Weizmann Institute, Rehovot)

On the Kac-Wakimoto formulas for admissible modules

Reimundo Heluani

Mathiew’s Moonshine

Roberto Longo (Tor Vergata, Rome)

Operator Algebraic Construction of Models in Conformal and Quantum Field Theory

Andrei Okounkov (Columbia,New York)

On some interesting Lie algebras

Ivan Shestakov (USP, São Paulo)

Non Associative Lie Theory

Vladimir Sokolov (Landau Institute, Chernogolovka)

Integrable differential equations with matrix variables

Michelle Vergne (Jussieu, Paris)

Dahmen-Micchelli polynomials and equivariant K-theory

M. Wakimoto (Kyushu, Japan)

Mock modular representations of affine Lie superalgebras of rank 2

Efim Zelmanov (UC, San Diego)

Identities in p- adic groups

## Support

CAPES– *Coordenação de Aperfeiçoamento de Pessoal de Nível Superior;*

CNPq – *Conselho Nacional de Desenvolvimento Científico e Tecnológico;*

FAPERJ – *Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro;*

FAPESP – *Fundação do Amparo à Pesquisa do Estado do São Paulo.*

## Topics

Representations of Lie algebras ,quantum affine algebras, toroidal algebras. Geometric Langlands Program, Springer resolutions, motivic integration, Koszul duality for Kac-Moody groups, etc.

## Transportation

__Monday 24__

8:30hs – Micro Bus 1 – Hotel Acapulco (Rua Gustavo Sampaio, 854 – Copacabana)

8:30hs – Micro Bus 2 – Oceano Copacabana Hotel (Rua Hilário de Gouveia, 17 – Copacabana)

**Back to Hotels**

17:00hs – Micro Bus 1 (Hotel Acapulco ) and Micro Bus 2 (Oceano Copacabana Hotel)

__Tuesday 25 to Friday 28__

8:50hs – Micro Bus 1 – Hotel Acapulco (Rua Gustavo Sampaio, 854 – Copacabana)

8:50hs – Micro Bus 2 – Oceano Copacabana Hotel (Rua Hilário de Gouveia, 17 – Copacabana)

**Back to Hotels**

**Tuesday 25**

19:00hs – Micro Bus 1 (Hotel Acapulco ) and Micro Bus 2 (Oceano Copacabana Hotel)

**Wednesday 26**

14:00hs – Micro Bus 1 – Hotel Acapulco – Sugarloaf Mountain (Urca)

14:00hs – Micro Bus 2 – Downton

**Thursday 27 to Friday 28**

17:00hs – Micro Bus 1 (Hotel Acapulco ) and Micro Bus 2 (Oceano Copacabana Hotel)

**Airport Transportation**

Saturday June 22: A car will be waiting at the exit gate of Terminal 1 from 5:30am. This car will be leaving the airport near 6:30-7am. The driver will be holding a sign saying “Symmetries in Math. and Phys. II”. We only have information of two participants arriving at this time so the departure time is a little bit flexible. If you plan to arrive at this time you can catch this car.

**Sunday June 23:**

1) Two cars will be waiting at the arrivals gate of terminal 1 from 5:30am. These cars will be leaving the airport near 6:30-7am. The drivers will be holding a sign saying “Symmetries in Math. and Phys. II”. We only have information few participants arriving at this time so the departure time is a little bit flexible. Please note if you’re arriving in flight JJ8079 this is not your gate.

2) A van will be waiting at the arrivals gate of terminal 2 from 9:00am. The driver will be holding a sign saying “Symmetries in Math. and Phys. II”. This van will depart at 11:00am to give time for people to do customs and get their luggage.

3) A Van will be waiting at the arrivals gate of terminal 2 from 3:00pm. The driver will be holding a sign saying “Symmetries in Math. and Phys. II”. This van will depart at 4pm to give time for people to do customs and get their luggage. Please note if you’re arriving in flight AR1252 this is not your gate.

**Monday June 24:**

A car will be waiting at the exit gate of Terminal 2 from 8:19am This car will be leaving the airport near 9-9:30am. The driver will be holding a sign saying “Symmetries in Math. and Phys. II”. We only have information of one participant arriving at this time so the departure time is a little bit flexible. If you plan to arrive at this time you can catch this car.

**Postal Address: **Instituto Nacional de Matemática Pura e Aplicada

Estrada Dona Castorina 110, Jardim Botânico

Rio de Janeiro, RJ, CEP 22460-320, Brasil

E-mail: eventos@impa.br