Sunday, 1 July

 
18:00 - 22:00 Registration; Informal "get together party" at Hotel Trend

Monday, 2 July

 
08:00 - 09:00 Registration
09:00 - 09:45 Opening
09:50 - 10:50 Schurian vs non-schurian coherent configurations
  Ilia Ponomarenko
10:55 - 11:35 Coherent configurations with nonsolvable automorphism group
  Andrey Vasilyiev
11:35 - 11:50 Coffee break
11:50 - 12:15 Implementation of stabilization algorithms for configurations
  Sven Reichard
12:20 - 12:45 Graph switching, $2$-ranks, and graphical Hadamard matrices
  Aida Abiad
12:50 - 13:15 Finding a maximal subgroup of minimal index in polynomial time
  Savelii Skresanov
13:15 - 15:20 Lunch
15:20 - 16:20 Association schemes, graph homomorphisms, and synchronization
  Peter J. Cameron
16:25 - 17:05 The Graham Higman method and beyond
  Alexander Gavrilyuk
17:05 - 17:20 Coffee break
17:20 - 17:45 Highly regular graphs. Part one: Introduction and examples
  Christian Pech
17:50 - 18:15 Highly regular graphs. Part two: On a family of strongly regular graphs by Brouwer, Ivanov and Klin
  Maja Pech
18:45 - 21:30 Dinner
21:30 - 22:10 Short presentations and light refreshments at Hotel Trend
  Bogdana Oliynik: Steinitz's lattice and diagonal constructions
  Alicia Roca: Combinatorics in sublattices of invariant subspaces
  Natalia Vanetik: Reconstructability index of finite $2$-step nilpotent graph $p$-groups
  Sanja Rukavina: The construction of combinatorial structures and linear codes from orbit matrices of strongly regular graphs

Tuesday, 3 July

08:30 - 09:30 Isomorphism problem for Cayley objects
  Mikhail Muzychuk
09:35 - 10:15 The Weisfeiler-Leman dimension and the speed of color stabilization ‐ logical and algorithmic aspects
  Oleg Verbitsky
10:15 - 10:35 Coffee break
10:35 - 11:00 On $p$-valenced association schemes whose thin residue has valency $p^2$
  Mitsugu Hirasaka
11:05 - 11:30 Commutative Schur rings of maximal dimension
  Stephen Humphries
11:35 - 12:00 Separability and schurity of Cayley schemes over Abelian groups
  Grigory Ryabov
12:05 - 12:30 Discrete version of Fuglede's conjecture and Pompeiu problem
  Gábor Somlai
12:30 - 14:30 Lunch
14:30 - 15:30 Abstract regular polytopes and $Y$-presentations for sporadic groups
  Dmitrii Pasechnik
15:35 - 16:15 Primitive coherent configurations with very many automorphisms
  John Wilmes
16:15 - 16:30 Coffee break
16:30 - 16:55 Strongly regular graphs constructed from groups
  Dean Crnković
17:00 - 17:25 On packings of disjoint copies of the Hoffman-Singleton graph into $K_{50}$
  Martin Mačaj
18:00 - 20:30 Dinner
20:30 - 22:20 Short presentations and light refreshments at Hotel Trend
  Katie Brodhead: Weisfeiler-Leman models contra link prediction schemes
  Krystal Guo: Average mixing of quantum walks on graphs
  Viktoriia Lebid: Inverse problems in spectral theory of graphs
  Dmitry Churikov: $2$-closure of $\frac{3}{2}$-transitive groups in polynomial time
  Leif Jørgensen: Automorphisms of an $\mathrm{srg}(162,21,0,3)$
  Mikhail Kagan: Resistance-distance transform in the context of Weisfeiler-Leman stabilization
  Daniel Kotlar: Invariants for efficiently computing the autotopism group of a partial latin rectangle
  Takunari Miyazaki: On the complexity of testing isomorphism of graphs of bounded eigenvalue multiplicity
  Danny Vagnozzi: Coherent configurations and higher dimensional Weisfeiler-Leman equivalence

Wednesday, 4 July

08:30 - 09:30 Applications of semidefinite programming, symmetry, and algebra to graph partitioning problems
  Edwin van Dam
09:35 - 10:15 Integral Cayley graphs on $\mathrm{Sym}_n$ and $\mathrm{A}_n$
  Elena Konstantinova
10:15 - 10:35 Coffee break
10:35 - 11:00 $PI$-eigenfunctions of the star graphs
  Sergey Goryainov
11:05 - 11:30 Deza graphs with parameters $(n,k,k-1,a)$
  Vladislav Kabanov
11:35 - 12:00 On asymptotics and arithmetical properties of complexity for circulant graphs
  Alexander Mednykh
12:05 - 12:30 Geometric structures on the complement of a knotted $\theta$-graph embedded in $\mathbb{S}^3$
  Nikolay Abrosimov
12:30 - 14:30 Lunch
14:30 Excursions

Thursday, 5 July (Memorial sessions)

08:30 - 09:10 How group theory and statistics met in association schemes
  Rosemary Bailey
09:15 - 09:40 Schur, Wielandt, Tamaschke: The development of $S$-rings into a tool for group theorists
  Kenneth W. Johnson
09:45 - 10:20 "Symmetry vs Regularity". How it started and what it led to
  Igor Faradjev
10:20 - 10:40 Coffee break
10:40 - 11:05 On the power of WL[k]
  Martin Fürer
11:10 - 11:45 Variations on some themes in the work of Donald G. Higman
  Alyssa Sankey
11:50 - 12:20 Jaap Seidel's network
  Willem Haemers
12:25 - 12:45 Remembering Volodya Zaichenko
  Andrei Ivanov
12:45 - 14:45 Lunch
14:45 - 15:35 History of the study of association schemes, a personal view
  Eiichi Bannai
15:40 - 16:15 Boris Weisfeiler (1941-1985?). Life of mathematician, adventurer, and uncle
  Lev Weisfeiler
16:15 - 16:30 Coffee break
16:30 - 16:55 Dale Mesner and his contributions to algebraic combinatorics
  Robert Jajcay
17:00 - 17:15 Issai Schur, Helmut Wielandt and schurian Schur-rings
  Reinhard Pöschel
17:20 - 17:50 Graphs and groups
  Robert Curtis
17:55 - 18:10 Ad hoc comments
20:00 Conference dinner

Friday, 6 July

08:30 - 09:30 Symmetry vs Regularity
  László Babai
09:40 - 10:20 Minimal degree of the automorphism group of primitive coherent configurations
  Bohdan Kivva
10:20 - 10:40 Coffee break
10:40 - 11:40 Towards the classification of ($P$ and $Q$)-polynomial schemes
  Tatsuro Ito
11:50 - 12:15 Edge-regular graphs and regular cliques
  Gary Greaves
12:20 - 12:45 Coherent configurations from quantum permutation groups
  David Roberson
12:50 - 14:50 Lunch
14:50 - 15:50 Tutorial: Coherent configurations and the Graph Isomorphism problem I
  László Babai
15:50 - 16:10 Coffee break
16:10 - 16:35 The Weisfeiler-Leman dimension of graphs and isomorphism testing
  Pascal Schweitzer
16:40 - 17:05 Two-fold orbitals
  Josef Lauri
17:15 - 17:40 Special presentation, TBA
  Alexander A. Ivanov
18:20 Dinner

Saturday, 7 July

08:30 - 09:30 Tutorial: Coherent configurations and the Graph Isomorphism problem II
  László Babai
09:40 - 10:05 The Graph Isomorphism Problem and the Module Isomorphism Problem
  Harm Derksen
10:05 - 10:20 Coffee break
10:25 - 11:25 From transposition groups to algebras
  Sergey Shpectorov
11:30 - 11:55 Constructing Majorana representations
  Madeleine Whybrow
12:00 - 12:25 On pronormal subgroups in finite groups
  Natalia Maslova
12:30 Closing the conference
13:00 Lunch