Lie Groups, Number Theory, and Vertex Algebras

Drazen Adamovic, University of Zagreb, Croatia.Andrej Dujella, University of Zagreb, Croatia.Antun Milas, State University of New York at Albany, NY.Pavle Pandzic, University of Zagreb, Croatia.

• Lie groups: H. De Bie, P. Iliev, W. van de Vijver, and L. Vinet, The Racah algebra: An overview and recent resultsL. Fresse and K. Nishiyama, Orbit embedding for double flag varieties and Steinberg mapsJ.-S. Huang, Symplectic Dirac cohomology and lifting of characters to metaplectic groupsS. Mehdi and M. Olbrich, Spectrum of semisimple locally symmetric spaces and admissibility of spherical representationsA. Romanov, Four examples of Beilinson-Bernstein localizationNumber theory: C. Fuchs and S. Heintze, Perfect powers in polynomial power sumsY. Fujita, The number of irregular Diophantine quadruples for a fixed Diophantine pair or tripleG. Muic, On ideals defining irreducible representations of reductive $p$-adic groupsA. Petho, On diophantine properties of radix representations in algebraic number fieldsVertex algebras: D. Adamovic, A. Milas, and M. Penn, On certain $W$-algebras of type $\mathcal{W}_k(\mathfrak{sl}_4,f)$D. Adamovic, B. Jandric, and G. Radobolja, On the $N=1$ super Heisenberg-Virasoro vertex algebraP. Bantay, Character rings and fusion algebrasJ. F. Clark, Continuing remarks on the unrolled quantum group of $\mathfrak{sl})2)$J. Corradino, On the geometric interpretation of certain vertex algebras and their modulesY.-Z. Huang, Representation theory of vertex operator algebras and orbifold conformal field theoryC. Jennings-Shaffer and A. Milas, Further $q$-series identities and conjectures relating false theta functions and charactersK. C. Misra and S. Pongprasert, Ultra-discretization of $D^{(1)}_6$-geometric crystal at the spin nodeZ. Skoda, Twisted exterior derivative for universal enveloping algebras IM. P. Tuite, The Heisenberg generalized vertex operator algebra on a Riemann surface