15:00 - 15:30
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Jan Pastorek (Comenius University): Search for correspondences between operations on partial automorphisms and k-dimensional Weisfeiler-Leman algorithm
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M-III
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15:30 - 16:00
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Stefania Glevitzka (Comenius University): Vertex-transitive closures of graphs
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M-III
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16:00 -
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Closing Remarks
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M-III
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Workshop Location
All talks take place in the Lecture Hall
M-III
Faculty of Mathematics, Physics and Computer Science is located in Mlynska dolina and can be accessed via trams 4 and 9 (stop `Botanicka zahrada'), by buses 31 or 39 (from the city, stop `ZOO'), or from the train station bus 32 (stop `ZOO').
All access via
public transportation requires about 5 minutes of walk by the end.
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Registration
Attending the workshop is free of charge. Everyone interested in the material
covered in the lectures is welcome to attend.
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Second Workshop, October 9 - 11, 2024
The second meeting took place at the University in Vienna, and included
a presentation by Robert Jajcay on October 10, 2024:
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14:00 - 15:00
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Universal construction of cyclic complementary extensions of finite groups inspired by the structure of automorphism groups of regular Cayley maps
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Seminar Room 4
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Abstract:
The concept of a Cayley map is one of the central concepts of the part of Topological Graph Theory focused on highly symmetric maps. A Cayley map is a 2-cell embedding of a Cayley graph into an orientable surface which admits all the left multiplications by the elements of the group as automorphisms of the map. A Cayley map is regular if its automorphism group acts transitively on its set of darts. The automorphism group of a Cayley map is a cyclic complementary extension of its underlying group, where the cyclic part is generated by a special group mapping called skew-morphism. All cyclic complementary extensions are known to give rise to skew-morphisms, and all skew-morphisms give rise to specific cyclic complementary extensions called skew-products. However, not all cyclic complementary extensions are skew-products; leaving a gap in our understanding of cyclic complementary extensions of finite groups. Recently, together with Kan Hu, we have been able to fill this gap by introducing a generalization of the power function of a skew-morphism we call extended power function, and by finding a universal construction of cyclic complementary extensions of groups by skew-morphisms and their extended power functions. We have shown that all cyclic complementary extensions are constructed in this way.
Further discussions lead by Goulnara Arzhantseva covered various topics that
included Lubotzky's conjecture and its connection to wall structures.
Third Workshop, November 12 - 13, 2024
The third workshop took place at the University of Vienna.
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Tuesday, November 12, 2024
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15:00 - 16:45
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Tatiana Jajcayova (Comenius University): Combinatorial Methods in Inverse Semigroups
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SR-08
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Wednesday, November 13, 2024
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9:15 - 10:00
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Christopher Cashen (University of Vienna): Biggs Colored Tree Groups Containing the Alternating Groups
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SR-06
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10:15 - 11:00
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Dominika Zavacka (Comenius University): Algorithmic Approach to Obtaining Values of (k,g)-Spectra
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SR-06
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14:00 - 14:45
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Goulnara Arzhantseva (University of Vienna): Large Girth Graphs with Bounded Diameter-by-Girth Ratio
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BZ-09
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15:00 - 18:00
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Discussion
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BZ-09
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For further information contact:
Robert Jajcay
or
Goulnara Arzhantseva
