Lie algebras and their representations


Matheus Brito (Universidade Federal do Paraná)
Kostiantyn Iusenko (Universidade de São Paulo)
Adriano Moura (Universidade Estadual de Campinas - Brazil)

The book of abstracts of this session is available here.


All talks at room 326 of the main Imecc building.

Monday Tuesday Wednesday
14:00 – 14:40 Neher 14:00 – 14:40 Greenstein 14:00 – 14:40 Hernandez
Questions and Break
14:45 – 15:25 Dimitrov 14:45 – 15:25 Bittmann 14:45 – 15:25 Fourier
Questions and Break
15:30 – 16:00 Calixto 15:30 – 16:00 Monsalve 15:30 – 16:00 Brito
Coffee Break
16:30 – 17:10 Van Ekeren 16:30 – 17:10 Garcia 16:30 – 17:10 Kus
Questions and Break
17:15 – 17:55 Hartwig 17:15 – 17:45 Macedo 17:15 – 17:55 Hubery
Questions and Break

17:50 – 18:20 Pereira 18:00 – 18:30 Bianchi


Basis for certain graded local Weyl modules
Angelo Calil Bianchi (Universidade Federal de São Paulo - Brazil)

t-deformations of Grothendieck rings as quantum cluster algebras
Léa Bittmann (Université Paris-Diderot Paris 7 - France)

A Weyl character formula for cluster algebras of type A
Matheus Batagini Brito (Universidade Federal do Paraná - Brazil)

Verma type modules for Lie superalgebras
Lucas Henrique Calixto (Universidade Federal de Minas Gerais - Brazil)

Left symmetric superalgebras
Ivan Dimitrov (Queen's University - Canada)

Linear degenerations of flag varieties
Ghislain Fourier (RWTH Aachen University - Germany)

Multiparameter quantum groups at roots of unity
Gastón Andrés García (Universidad Nacional de La Plata - Argentina)

On cacti and crystals
Jacob Greenstein (University of California Riverside - USA)

Gelfand-Tsetlin modules over Galois orders
Jonas Torbjoern Hartwig (Iowa State University - USA)

Grothendieck ring isomorphims, mutations and Kazhdan-Lusztig polynomials
David Hernandez (Université Paris 7 - France)

Euler characteristics of quiver Grassmannians
Andrew Hubery (Bielefeld University - Germany)

A combinatorial formula for graded multiplicities in excellent filtrations
Deniz Kus (Ruhr-University Bochum - Germany)

Extensions of irreducible modules for map superalgebras
Tiago Rodrigues Macedo (Universidae Federal de São Paulo - Brazil)

Fibers of partial Kostant-Wallach map
Germán Alonso Benitez Monsalve (Universidade Federal do Amazonas - Brazil)

Integrable representations of weight-graded Lie algebras
Erhard Neher (University of Ottawa - Canada)

Tensor products of spin Kirillov-Reshetihin modules
Fernanda de Andrade Pereira (Instituto Tecnológico de Aeronáutica - Brazil)

Arc spaces and associated schemes of vertex algebras
Jethro van Ekeren (Universidade Federal Fluminense - Brazil)


The following are the posters related to the session. They will be displayed on Monday from lunch break until the end of the afternoon coffee break, except where indicated.

Homological properties of restricted Lie algebras over perfect fields
Adriana Juzga León (Universidade Estadual de Campinas - Brazil)

Módulos de Wakimoto intermediários torcidos
André Silva de Oliveira (Universidade de São Paulo - Brazil)

Simple tensor products of finite-dimensional representations of quantum affine algebras
Clayton Cristiano da Silva (Universidade Estadual de Campinas - Brazil)

Galois orders and an alternating analogue of U(gl(3))
Erich Christian Jauch (Iowa State University - USA)

Superelliptic affine Lie algebras
Felipe Albino dos Santos (University of São Paulo - Brazil)

Uma sequência de Lyndon-Hochschild-Serre para certas representações de uma álgebra de Lie graduada de dimensão finita
Gilmar de Sousa Ferreira (Universidade Estadual dos Vales do Jequitinhonha e Mucuri - Brazil)

Classificação dos módulos simples de peso sobre sl(2,C)
João Antonio Francisconi Lubanco Thomé (Universidade Federal do Paraná - Brazil)

The isomorphism problem for universal envelopings algebras of solvable Lie algebras
José Luis Vilca Rodrígues (Universidade Federal de Minas Gerais - Brazil)

Localização da realização de campos livres de módulos de Verma $\varphi$-imaginários sobre $\widehat{\mathfrak{sl}}(2,\mathbb{C})$
Marcela Guerrini Alves (University of São Paulo - Brazil)

A simple method for obtaining right coideal subalgebras for some small quantum algebras
Priscila Nunes dos Santos (Universidade Federal do Rio Grande do Sul - Brazil)*

A simple method for obtaining PBW-basis for some small quantum algebras
Vanusa Moreira Dylewski (Universidade Federal do Rio Grande do Sul - Brazil)*

On a conjecture about truncated Weyl modules
Victor do Nascimento Martins (Universidade Federal do Espírito Santo - Brazil)

* To be displayed on Thursday