18:00 - 22:00

Registration; Informal "get together party" at Hotel Trend

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