Second Annual Yulia's Dream Conference, June 13, 2024

Thursday, June 13

8:15 am (Boston) [15:15 (Kyiv)]: Welcoming Remarks

• Prof. Pavel Etingof, Yulia's Dream Chief Research Advisor
• Dr. Slava Gerovitch, Yulia's Dream Program Director

8:30 am (Boston) [15:30 (Kyiv)]: Guest lecture

• Prof. Pavlo Pylyavskyy (University of Minnesota Twin Cities), “Incidences and tilings” (joint work with Prof. Sergey Fomin (University of Michigan))

9:40-10:40 am (Boston) [16:40-17:40 (Kyiv)]: Session 1

• Maryna Lubimova, Denis Liabakh, Maksym Skulysh, “Counting spanning trees with linear algebra” (mentor Dr. Maksym Chaudkhari, Fields Institute / University of South Florida) (slides)
• Yehor Shudrenko, Maksym Shvydenko, Theodor Gabel, “Combinatorial Nullstellensatz” (mentor Kyrylo Muliarchyk, University of Texas at Austin) (slides)
• Mykhailo Barkulov, Heorhii Zhylinskyi, Mathew Kutach, “Finite reflection groups and Coxeter groups” (mentor Dr. Kostiantyn Tolmachov, University of Edinburgh) (slides)

10:50-11:50 am (Boston) [17:50-18:50 (Kyiv)]: Session 2

• Volodymyr Chub, Stanislav Surmylo, “Cumulants for Asymmetric Additive Convolution” (mentor Prof. Cesar Cuenca, Ohio State University) (slides)
• Ivan Bortnovskyi, Borys Holikov, Vadym Pashkovskyi, “First examples of non-abelian quotients of the Grothendieck-Teichmuller group” (mentor Prof. Vasily Dolgushev, Temple University) (continuation of last year Yulia’s Dream project) (slides)
• Kostiantyn Molokanov, Severyn Khomych, Nazar Korniichuk, “Affine root systems via Lyndon words” (mentor Prof. Oleksandr Tsymbaliuk, Purdue University) (slides)

12:00-1:00 pm (Boston) [19:00-20:00 (Kyiv)]: Session 3

• Daria Ukshe, Yevheniia Frankevych, Viktoriia Honcharenko, “Spectral correspondence theorem for Higgs fields” (mentor Dr. Mykola Matviichuk, Imperial College London) (slides)
• Yaroslav Molybog, Constantine Bulavenko, Ivan Balashov, “Tesler matrices and Lusztig data” (mentor Prof. Anne Dranowski, University of Southern California) (slides)
• Andrii Smutchak, Sofiia Breslavets, “Double groupoids” (mentor Prof. Harshit Yadav, University of Alberta) (slides)

1:10-2:10 pm (Boston) [20:10-21:10 (Kyiv)]: Session 4

• Maksym Chaplanov, Tymofii Kolisnyk, Lev Kekalo, “Color plane groups” (mentor Andrei Zabolotskii, Open University) (slides)
• Danylo Saienko, Kyrylo Osipov, Title TBA (mentor Andrei Mandelshtam, Stanford University)
• Oleksandr Borodin, Maryna Spektrova, Ivan Bortnovskyi, “Combinatorial Hikita conjecture in types B,C,D” (mentor Prof. Andrei Ionov, Boston College)

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