Divisibility of Spheres with Measurable Pieces - Oleg Pikhurko

Explore a mathematical lecture on the divisibility of spheres with measurable pieces. Delve into the concept of $(\gamma_1,\dots,\gamma_r)$-divisibility of the Euclidean $(d-1)$-dimensional sphere $S^{d-1}$. Learn about the impossibility of measurable divisibility for a "generic" r-tuple of rotations, contrasting with the results of Conley, Marks, and Unger on divisibility with parts having the property of Baire. Examine the motivations behind this research, including open questions from Mycielski and Wagon. Gain insights into the joint work of Oleg Pikhurko, Clinton Conley, and Jan Grebik in this 48-minute presentation from the Measured Group Theory conference at the Centre de recherches mathématiques.