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VERTEX ALGEBRAS AND RELATED TOPICS

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VERTEX ALGEBRAS AND RELATED TOPICS

University of Zagreb, Croatia, May 24th – 27th, 2018

SCHEDULE

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Prirodoslovno-matematički fakultet Horvatovac 102/a, Zagreb tel. 01 460 6091 https://www.pmf.unizg.hr/

http://bela.phy.hr/quantixlie/

Thursday, May 24th

9:00 – 9:50 James Lepowsky: Points of view on combinatorial bases

10:00 – 10:50 Paolo Papi: Collapsing levels and the representation theory of affine vertex algebras

Chair: Dražen Adamović

10:50 – 11:10 Coffee break

11:10 – 12:00 Masahiko Miyamoto: Griess subalgebra and multivariable modular forms 12:10 – 13:00 Ching Hung Lam: Orbifold VOAs associated with coinvariant sublattices of Leech lattices

Chair: Ozren Perše

13:00 – 15:00 Lunch break

15:00 – 15:50 Dragan Miličić: Kazhdan-Lusztig algorithm for Whittaker modules 15:50 – 16:10 Coffee break

16:10 – 17:00 Kazuya Kawasetsu: The intermediate vertex subalgebras of the lattice vertex operator algebras

17:10 – 17:40 Igor Ciganović: Unramified representations of the metaplectic group Chair: Tomislav Šikić

Friday, May 25th

9:00 – 9:50 Shaobin Tan: q-Virasoro algebra and affine Kac-Moody algebra

10:00 – 10:50 Simon Wood: Admissible level \mathfrak{osp}(1|2) minimal models and their relaxed highest weight modules

Chair: Dražen Adamović

10:50 – 11:10 Coffee break

11:10 – 12:00 Cuipo Jiang: Level-rank duality for some affine vertex operator algebras

12:10 – 13:00 Qing Wang: Representations of Z2-Orbifold of Parafermion Vertex Operator Algebras

Chair: Slaven Kožić

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Prirodoslovno-matematički fakultet Horvatovac 102/a, Zagreb tel. 01 460 6091 https://www.pmf.unizg.hr/

http://bela.phy.hr/quantixlie/

13:00 – 15:00 Lunch break

15:00 – 15:50 Jehanne Dousse: Combinatorial approach to partition identities from representation theory

15:50 – 16:10 Coffee break

16:10 – 17:00 Arne Meurman: Bases of the integrable highest weight modules of \mathfrak{sl}

(2,\mathbb{C})^{\sim}

17:10 – 18:00 Stefano Capparelli: Partition identities and affine Lie algebras Chair: Ozren Perše

19:00 – 22:00 Conference dinner

Saturday, May 26th

9:30 – 10:00 Presentation of the results of CSF project 2634 (Introduction by D. Adamović):

10:00 – 10:40 Gordan Radobolja: Free field realization of twisted Heisenberg-Virasoro algebra at level zero and W(2,2) algebra

10:50 – 11:30 Slaven Kožić: Etingof-Kazhdan's quantum universal affine vertex algebra

Chair: Dražen Adamović

11:30 – 11:50 Coffee break

11:50 – 12:30 Marijana Butorac: Combinatorial bases of principal subspaces of standard modules for twisted affine Lie algebras of type A(2)2l-1, D(2)l,

E(2)6 and D(3)4

12:40 – 13:20 Goran Trupčević: Bases of Feigin-Stoyanovsky's type subspaces

13:40 – 14:30 Mirko Primc: Some combinatorial coincidences for standard representations of affine Lie algebras

Chair: Tomislav Šikić

15:00 – 18:00 Banquet

Sunday, May 27th

Free discussions and city tour

Organizacija ovog znanstvenog skupa je sufinancirana u okviru Operativnog programa Konkurentnost i kohezija, iz

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Prirodoslovno-matematički fakultet Horvatovac 102/a, Zagreb tel. 01 460 6091 https://www.pmf.unizg.hr/

http://bela.phy.hr/quantixlie/

Europskog fonda za regionalni razvoj.

Za više informacija o EU fondovima: http://www.strukturnifondovi.hr/

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