Bulgarian Academy of Sciences

Institute for Nuclear Research and Nuclear Energy

XV. International Workshop




19 - 25 June 2023, Varna, Bulgaria


We have a Contract with Springer for publication (as several times) in Springer Proceedings in Mathematics and Statistics (PROMS). All speakers will get very soon a mail with the details. The submission deadline will be December 1st, 2023.

Schedule of Talks

List of Talks

Registered Participants


Conference Photo

Scope and Topics:

The meeting covers the whole field of Lie Theory in its widest sense together with its applications in many facets of physics. As interface between mathematics and physics the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists.
The first three workshops were organised in Clausthal (1995,1997,1999), the 4th, 6th and 12th were part of the 2nd, 4th, 10th Symposium 'Quantum Theory and Symmetries' in Cracow (2001), Varna (2005, 2017), the 5th, 7th to 11th, 13th were organised in Varna (2003,2007-2015,2019), the 14-th was on-line in Sofia (2021), for more details of the LT series see: http://theo.inrne.bas.bg/~dobrev/

The preliminary programme includes the following topics:

- Representation Theory
- Algebraic Geometry and Number Theory
- Langlands Correspondence
- Cluster Algebras, Quiver Representations
- Quantum Computing, Entanglement
- Infinite-Dimensional Lie Groups and Algebras
- Superalgebras and Supergroups
- Quantum Groups and Noncommutative Geometry
- Operator Algebras
- Symmetries of Linear and Nonlinear PDO
- Special Functions

- Symmetries in String Theory
- Supergravity, Quantum Gravity
- Conformal Field Theories
- Integrable Systems
- Relativistic and Nonrelativistic Holography
- Neural Networks, Deep Learning
- Gauge Field Theories
- Noncommutative Quantum Theories
- Symmetries in Dynamical Systems
- Symmetries in Condensed Matter and Statistical Physics

International Advisory Committee:

L. Accardi (Rome)
L. Bonora (SISSA)
A. Connes (IHES)
A. Dabholkar (ICTP)
R. Dijkgraaf (IAS)
M.R. Douglas (Harvard U.)
S. Ferrara (CERN)
A.M. Fino (Torino)
K. Fredenhagen (Hamburg)
E. Ivanov (JINR)
M. Jimbo (Tokyo)
V.G. Kac (MIT)
L.H. Kauffman (Chicago)
T. Kobayashi (Tokyo)
C. Kristjansen (Niels Bohr Inst.)
A. Morozov (Moscow)
W. Nahm (DIAS)
H. Nicolai (Potsdam)
A. Sudbery (York)
I.T. Todorov (Sofia)
E. Witten (Princeton)

International Steering Committee:

C. Burdik (Prague)
V.K. Dobrev (Sofia, Chair)
H.-D. Doebner (Clausthal) † 4.10.2022
B. Dragovich (Belgrade)
G.S. Pogosyan (Yerevan & Guadalajara)

Monday, June 19: Arrival and registration in the afternoon
Tuesday, June 20: Talks begin in the morning
Saturday, June 24: Talks end in the late afternoon
Sunday, June 25: Departure

Conference Site:

The Workshop will take place at the Guest House of the Bulgarian Academy of Sciences on the Black Sea coast near Varna. Varna is Bulgaria's third largest city and main naval port. The participants who booked accommodation through the Organizing Committee will be accommodated in the Guest House or in the neighbouring hotel "Vezhen". The latter participants will have breakfast at their hotel, lunch and dinner at the Guest House. The Guest House is in resort "Chayka" which is situated between two of Bulgaria's biggest coastal resorts "St. Constantine and Elena" (formerly "Druzhba") and "Golden Sands".

Travel information:
The most convenient way to travel from abroad is by plane to Varna airport. In the summer there are many regular (daily) flights to Varna from many European cities and regular daily flights from Sofia (Bulgaria's capital). The latter is connected with Europe's major cities by regular daily flights. Travel by train is to Varna railway station. The airport (railway station) is about 22 km (10 km) from the Conference site with direct bus connection. .



Registration is closed    (Deadline was 30 April 2023.)
Registered participants can use the link from the message they received after registration to access their personal registration page. Alternatively, they can contact the Org. Committee by the e-mails shown below. We remind that the deadline to submit the Abstracts was 15 May 2023.


- Bulgarian Academy of Sciences
- Abdus Salam International Centre for Theoretical Physics

Organizing Committee: V.K. Dobrev (Chairman), N.I. Stoilova (Vice-Chair), K.K. Marinov, D.T. Nedanovski, S.J. Pacheva, T.V. Popov, D.R. Staicova, S.T. Stoimenov

Address for correspondence:

Prof. V.K. Dobrev
Bulgarian Academy of Sciences
Institute for Nuclear Research and Nuclear Energy
72 Tsarigradsko Chaussee
1784 Sofia

Phone: +359 2 9795530
E-mail: lt.15@abv.bg,   vkdobrev@yahoo.com,   dobrev@inrne.bas.bg,
dobrev@ictp.it (back-up)
WWW: http://theo.inrne.bas.bg/~dobrev/LT-15.htm

This Web-page is still under construction and will be updated regularly.