## 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