Orbita Mathematicae Webinars
We have the pleasure to invite the entire community to attend the next edition of the series of Webinars organized by Orbita Mathematicae, the new official journal of the Mathematical Union of Latin America and the Caribbean (UMALCA), to be held on Wednesday July 2 at 9:00 a.m. PDT, 10:00 a.m. México City, 12:00 p.m. EST and Santiago de Chile, 1:00 p.m. Argentina, Uruguay, Brasilia, 5:00 p.m. UK, 6:00 p.m. Western Europe, etc.
July 2, 2025
Speaker: Julio D. Rossi
Title: The flow by minimal curvature and the convex hull of a set
Abstract: We look for the convex hull of a prescribed set using a geometric evolution of a hypersurface that surrounds the set. To find the convex hull, we study the large time behavior of solutions to an obstacle problem for the level set formulation of the geometric flow driven by the minimum of the principal curvatures. We prove that the positivity set of the solution to this obstacle problem converges as time goes to infinity to the convex hull of the obstacle. Our approach is based on a game-theoretic approximation for this geometric flow that is inspired by previous results for the mean curvature flow. Joint work with I. Gonzalvez (Madrid), J. Ruiz-Cases (Madrid) and A. Miranda (Buenos Aires).
Recording: https://www.youtube.com/live/1UmeUHAPmwE?si=Yqqi5N8bmHClQoUU
Zoom: https://encurtador.com.br/V7wwi
Youtube: https://youtube.com/@UMALCA
About the speaker
Julio Daniel Rossi holds a PhD in Mathematics from the University of Buenos Aires (1996). He has taught and conducted research in Buenos Aires (Argentina), Santiago (Chile), Madrid (Spain), and Alicante (Spain). His work focuses on Differential Equations and Mathematical Analysis. He has published three books and more than 250 papers in international journals, which have received over 4,800 citations from more than 2,200 different authors. He is a member of the editorial board of 10 international journals. He has been an invited speaker at numerous international conferences, including the Mathematical Congress of the Americas 2021. He has received several awards: Best Thesis Prize in Mathematical Sciences 1994-1997 (1998), Academy of Sciences Prize (2006), Houssay Prize (2009), SEMA Prize (Spain) (2011), and recently the Konex Diploma of Merit (2023).
Don’t miss this opportunity to deepen your knowledge with one of the leading figures in contemporary mathematics! And please, help us spread this announcement.