Focused Workshop on Current Trends in Geometric Valuation Theory

Geometric valuation theory has a long history, extending from Dehn's solution of Hilbert's third problem to modern advances in discrete geometry, integral geometry, and asymptotic geometric analysis. Much recent attention has focused on the algebraic structure of smooth valuations on convex bodies, leading to results such as the hard Lefschetz theorem and Hodge–Riemann relations, and, consequently, to new geometric inequalities. An important parallel development has been the extension of valuations to convex functions, including a Hadwiger-type classification result and a theory of smooth valuations. 

This workshop will bring together experts from both of these areas, in order to foster collaboration and explore new connections between the algebraic structure of smooth valuations on convex bodies and the theory of valuations on convex functions.

Preliminary Schedule

Monday (July 7)
9:00-10:40 Andreas Bernig (90 mins. + 10 mins. discussion)
10:40-11:10 Coffee Break
11:10-12:00 Davide Ravasini (40+10)
12:00-14:00 Lunch Break
14:00-15:00 Vadim Lebovici (50+10)
15:00-15:30 Coffee Break
15:30-16:30 Discussion

18:30 Wine & Cheese Reception

Tuesday (July 8)
09:20-10:30 Andrea Colesanti (60+10)
10:30-11:00 Coffee Break
11:00-12:00 Jacopo Ulivelli (50+10)
12:00-14:00 Lunch Break
14:00-15:00 Mohamed Abdeljalil Mouamine (50+10)
15:00-15:30 Coffee Break
15:30-16:30 Problem Session

Wednesday (July 9)
09:40-10:30 Károly J. Böröczky (40+10)
10:30-11:00 Coffee Break
11:00-12:00 Leo Brauner (50+10)
12:00-14:00 Lunch Break
14:00-16:00 Discussion/Free

Thursday (July 10)
09:30-10:30 Fernanda Moreira Baêta (50+10)
10:30-11:00 Coffee Break
11:00-12:00 Jonas Knoerr (50+10)
12:00-14:00 Lunch Break
14:00-15:00 Dima Faifman (50+10; time to be confirmed)
15:00-15:30 Coffee Break
15:30-16:30 Discussion

18:30 Conference Dinner

Friday (July 11)
09:30-10:30 Discussion
10:30-11:00 Coffee Break
11:00-12:00 Discussion
12:00-14:00 Lunch Break