1st year of the project

  • D. Adamović, Realization of certain modules for affine and superconformal vertex algebras, North Carolina State University, Raleigh, USA, Algebra and Combinatorics Seminar, October 6th, 2014.
  • D. Adamović, Vertex algebras and Whittaker modules for affine Lie algebras, International conference on "Infinite Dimensional Lie Theory and its Applications, Harish-Chandra Research Institute, Allahabad, India, December 15-20, 2014; presentation.
  • G. Radobolja, Application of VOA to representation theory of W(2,2)-algebra and the twisted Heisenberg-Virasoro algebra, International conference on "Infinite Dimensional Lie Theory and its Applications", Harish-Chandra Research Institute, Allahabad, India, December 15-20, 2014; presentation.
  • D. Adamović, C2 cofinite vertex algebras and representations of affine vertex algebra, Vertex algebras, W-algebras, and applications, Centro di Ricerca Matematica Ennio De Giorigi, Pisa, Italy, December 9th 2014, January 18th 2015.
  • D. Adamović, C2 cofinite vertex algebras and affine vertex algebras, Workshop on Vertex Operator Algebras and Mock Modular Forms, May 22-23, 2015, Galway, Ireland.
  • M. Butorac, Combinatorial bases of principal subspaces for affine Lie algebras of type Bl(1) and Cl(1), Representation Theory XIV, Dubrovnik, Croatia, June 21-27, 2015; presentation.
  • G. Radobolja, Free field realization and weight representation theory of the twisted Heisenberg-Virasoro algebra, Representation Theory XIV, Dubrovnik, Croatia, June 21-27, 2015; presentation.
  • M. Primc, Quasi-particles in the principal picture of ŝl2 and Rogers-Ramanujan-type identities, Representation Theory XIV, Dubrovnik, Croatia, June 21-27, 2015; presentation.
  • O. Perše, Representations of some affine vertex algebras at negative integer levels, Representation Theory XIV, Dubrovnik, Croatia, June 21-27, 2015; presentation.
  • D. Adamović, Explicit realization of certain affine and superconformal vertex algebras, Representation Theory XIV, Dubrovnik, Croatia, June 21-27, 2015; presentation.
  • T. Šikić, Leading terms of relations for standard modules of affine Lie algebras Cn(1), Representation Theory XIV, Dubrovnik, Croatia, June 21-27, 2015; presentation.
  • S. Kožić, Quasi-particles in the principal picture of ŝl2 and Rogers-Ramanujan-type identities, The mathematics of conformal field theory, Australian National University, Canberra, Australia, 13-17 July 2015.
  • S. Kožić, Principal subspaces and vertex operators for quantum affine algebra Uq(ŝln+1), 59th Annual Meeting of the Australian Mathematical Society, Flinders University, Adelaide, Australia, 28 September-1 October 2015.
  • S. Kožić, Principal subspaces for quantum affine algebra Uq(ŝln+1), Algebra Seminar, University of Sydney, Sydney, Australia, 4 September 2015.
  • S. Kožić, Vertex algebras and quantum current operators, Thirty-Third Annual Victorian Algebra Conference, Western Sydney University, Sydney, Australia, 30 November-2 December 2015.

2nd year of the project

  • D. Adamović, On the representation theory of affine vertex algebras and W-algebras, 6TH CROATIAN MATHEMATICAL CONGRESS, Zagreb, Croatia, June 14-17, 2016 (plenary talk); presentation.
  • D. Adamović, On logarithmic and Whittaker modules for affine vertex operator algebras, Vertex operator algebras and Related topics, Sichuan University, Chengdu, China, September 7-11, 2015.
  • D. Adamović, Explicit realization of affine vertex algebras and their applications, Lie Algebras, Vertex Operator Algebras and Related Topics, University of Notre Dame, USA, August 14-18, 2015; presentation.
  • M. Primc, Difference conditions in combinatorial bases of representations of affine Lie algebras, Lie Algebras, Vertex Operator Algebras and Related Topics, University of Notre Dame, USA, August 14-18, 2015; presentation.
  • O. Perše, Representations of some affine vertex algebras at negative integer levels, Lie Algebras, Vertex Operator Algebras and Related Topics, University of Notre Dame, USA, August 14-18, 2015.
  • D. Adamović, On explicit realization of affine vertex algebras and superconformal algebras, Sapienza Universita di Roma, Italy, Algebra and Geometry Seminar, December 2, 2015.
  • D. Adamović, Conformal embeddings and realizations of certain simple W-algebras, Vertex algebras and Quantum groups, BIRS, Banff February 8, 2016; presentation.
  • O. Perše, On conformal embeddings of affine vertex algebras and branching rules, Sapienza Universita di Roma, Italy, Algebra and Geometry Seminar, May 25, 2016.
  • T. Šikić, Combinatorial Bases of Basic Modules for Cn(1) and the Conjecture for All Standard Modules, Seminar at Washington University, St. Louis, May 24, 2016.
  • G. Radobolja, Free field realization of the twisted Heisenberg-Virasoro algebra and W(2,2) algebra and applications to representation theory, Representation Theory Conference, Upssala, Sweden, June 2-4, 2016.

3rd year of the project

  • M. Butorac, Combinatorial bases of principal subspaces for affine Lie algebras of type G2(1), Lie Theory and Representation Theory Workshop, University of Cologne, August 22-26, 2016.
  • D. Adamović, On vertex algebraic constructions of simple affine vertex algebras and their modules, North Carolina State University, Raleigh, USA, Algebra and Combinatorics Seminar, November 7, 2016.
  • D. Adamović, On Wakimoto and Whittaker modules for affine vertex algebras, Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, Fall Southeastern Sectional Meeting, North Carolina State University, Raleigh, NC, USA November 12-13, 2016.
  • D. Adamović, Conformal embeddings of affine vertex algebras in W-algebras and their applications, Geometry and Representation Theory, Erwin Schrödinger International Institute for Mathematical Physics, Vienna, Austria, January 16-27, 2017.
  • D. Adamović, Conformal embeddings and the representation theory of affine vertex operator algebras, VOA and related topics, Osaka University, March 15-16, 2017.
  • M. Butorac, Construction of quasi-particle bases of principal subspaces of affine Lie algebras, Special Algebra/Number Theory seminar, SUNY Albany, USA, May 25, 2017.
  • G. Radobolja, On free field realization of the twisted Heisenberg-Virasoro algebra at level zero and W-algebra W(2,2), The XXVth International Conference on Integrable Systems and Quantum symmetries (ISQS-25), Prague, Czech Republic, June 6-10, 2017.
  • M. Butorac, Combinatorial bases of principal subspaces for affine Lie algebras, Representation Theory XV, Dubrovnik, Croatia, June 18-25, 2017.
  • S. Kožić, Central elements of some quantum vertex algebras, Representation Theory XV, Dubrovnik, Croatia, June 18-25, 2017.
  • S. Kožić, Center of the quantum affine vertex algebra in type A, ANZAMP Meeting 2017, Kiama, Australia, February 1-3, 2017.
  • O. Perše, Conformal embeddings and associated vertex algebras, Representation Theory XV, Dubrovnik, Croatia, June 18-25, 2017.
  • G. Radobolja, Construction of intertwining operators and logarithmic modules for Heisenberg-Virasoro vertex algebra at level zero and W(2,2)-algebra, Representation Theory XV, Dubrovnik, Croatia, June 18-25, 2017.
  • T. Šikić, On a generalisation of Capparelli's combinatorial identities for affine symplectic Lie algebras, Representation Theory XV, Dubrovnik, Croatia, June 18-25, 2017.
  • B. Širola, On certain class of representations for Lie algebras, Representation Theory XV, Dubrovnik, Croatia, June 18-25, 2017.
  • G. Trupčević, Bases of standard modules for affine Lie algebras of type Cl(1), Representation Theory XV, Dubrovnik, Croatia, June 18-25, 2017.

4th year of the project