Workshop on Quantum Symmetries

October 16-18, 2019

ICTP-SAIFR, São Paulo, Brazil

Auditorium of IFT-UNESP

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Symmetry in nature and in mathematics may be encoded by groups of symmetry operations, or more generally by the action of Hopf algebras (quantum symmetry). Several powerful tools are used for understanding these actions, such as Lie theory, group theory, tensor categories, fusion categories, and cohomology. The areas to which these ideas apply range from such classical subjects as geometry, combinatorics and algebra to quantum computations, vertex algebras and conformal field theories.

Despite the growing number of people working on quantum symmetries in these different areas and a reasonable number of conferences in the respective areas, the cross-pollination of these different subjects at a single conference is rare and the communities interested in quantum symmetries for different reasons do not have substantial overlap.

The goal of this workshop is to bring together specialists and young mathematicians specializing in these areas to develop newly emerging connections and foster communication and sharing of ideas. This event will consist of research and panoramic talks related to several subject areas united by their applications to quantum symmetries.

There is no registration fee.

Organizers:

  • Iván Angiono (Universidad Nacional de Cordoba, Argentina)
  • Vyacheslav Futorny (Universidade de Sao Paulo, Brasil)
  • Andrea Solotar (Universidad de Buenos Aires, Argentina)
  • Leandro Vendramin (Universidad de Buenos Aires, Argentina)

 

Talks & Posters

LIST OF ABSTRACTS: PDF updated on October 14, 2019

Talks:

  • Nicolás Andruskiewitsch (Universidad Nacional de Cordoba, Argentina): Examples of finite-dimensional pointed Hopf algebras in positive characteristics
  • Dirceu Bagio (Universidade Federal de Santa Maria, Brazil): On Simple Modules Over a Lestrygonian Nichols Algebra
  • Yuly Billig (Carleton University, Canada): Representations of Lie algebras of vector fields on algebraic varieties
  • Stephen Griffeth (Universidad de Talca, Chile): Structure and character formulas for unitary representations of Cherednik algebras
  • Vesselin Gueorguiev (Ronin Institute for Independent Scholarship, USA): q-analog of A_{m-1} ⊕ A_ {n-1} ⊂ A_{mn-1}
  • Reimundo Heluani (IMPA, Brazil): Vertex algebras and arc spaces
  • Andrei Mikhailov (IFT-UNESP, Brazil): Deformations, renormgroup, symmetries, AdS/CFT
  • Julia Pevtsova (University of Washington, USA): Cohomology of finite dimensional Hopf algebras
  • Bárbara Pogorelski (Universidade Federal do Rio Grande do Sul, Brazil): On the combinatorial rank of quantum groups
  • Luis Enrique Ramirez (Universidade Federal do ABC, Brazil): Gelfand-Tsetlin modules for arbitrary characters
  • João Fernando Schwarz (IME-USP, Brazil):Noncommutative Birational Equivalence and Applications
  • Dmitry Vasilevich (Universidade Federal do ABC, Brazil): Index Theorems, Anomalies, and all that (IFT-Colloquium)
  • Cristian Vay (Universidad Nacional de Cordoba, Argentina): Symmetries on modules over Drinfeld doubles

Poster

Announcement

Online registration is now closed

Program

LIST OF ABSTRACTS: PDF updated on October 14, 2019

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Workshop on Quantum Symmetries

Additional Information

Registration: ALL participants should register. The registration will be on October 16 (Wednesday) at the institute at 10:00 am.

List of Participants:  Updated on October 10, 2019

Poster presentation: Participants who are presenting a poster MUST BRING A BANNER PRINTED. The banner size should be at most 1,5m x 1m. We do not accept A4 or A3 paper. Click here to see what a banner looks like:  http://designplast.ind.br/produtos/detalhe/impressao-digital/banner/119/9

BOARDING PASS: All participants, whose travel has been provided or will be reimbursed by the institute, should bring the boarding pass upon registration, and collect an envelope to send the return boarding pass to the institute.

Visa information: Nationals from several countries in Latin America and Europe, Australia, Canada, Japan and USA are exempt from tourist visa. Please check here which nationals need a tourist visa to enter Brazil. Please check here which nationals need a tourist visa to enter Brazil.

Accommodation: Participants, whose accommodation will be provided by the institute, will stay at The Universe Flat. Hotel recommendations are available here

How to reach the Institute: The workshop will be held at ICTP South American Institute, located at IFT-UNESP, which is across the street from a major bus and subway terminal (Terminal Barra Funda). The address which is closer to the entrance of the IFT-UNESP building is R. Jornalista Aloysio Biondi, 120 – Barra Funda, São Paulo. The easiest way to reach us is by subway or bus, please find instructions here.

Yellow fever vaccination is recommended for travellers going to Brazil. Note that the vaccine needs to be taken at least ten days before the trip to be effective. Information: https://wwwnc.cdc.gov/travel/notices/alert/yellow-fever-brazil