Recent Advances in Valuations on Function Spaces
Explore recent developments in valuations on function spaces, focusing on convex and continuous functions, with insights into measure-valued valuations and their classifications.
Lefschetz Operators on Minkowski Valuations
Explore Lefschetz operators' action on continuous Minkowski valuations compatible with rigid motions, including difference body, projection body, and mean section body maps.
Entropy, Isotropic Constant and Mahler's Conjecture
Explores connections between entropy, isotropic constant, and Mahler's conjecture in convex geometry. Discusses functional forms of Klartag's work and adaptations for log-concave functions.
Comparison Problems for the Radon Transform
Explores comparison problems for Radon transforms, examining conditions for L^p-norm inequalities and introducing function classes generalizing intersection bodies, with applications to slicing inequalities.
MM-Estimates, Regular M-Ellipsoids and Distances Between Convex Bodies
Explores convex bodies in n-dimensional space, focusing on mean width, MM* estimates, and their relation to covering efficiency and distances between convex bodies. Discusses symmetric vs non-symmetric cases.
Is There a Triangle Inequality for Measures of Compact, Convex Sets?
Explore geometric inequalities for convex bodies, focusing on surface area, Minkowski sums, and measure properties. Examine recent findings on monotonicity and supermodularity for Borel and Radon measures.
Nash Social Welfare and A Tale of Mathematical Programs
Explore determinant maximization, its applications in machine learning and game theory, and techniques like matroid intersection methods for solving this abstract problem.
The Funk Metric in Convex Geometry and Related Fields
Explore the Funk metric's connections to convex geometry, affine geometry, and combinatorics. Discover its projective invariance and relations to various conjectures and theorems.
Realization Spaces of Polytopes and Oriented Matroids
Explore realization spaces of polytopes and oriented matroids in this advanced mathematical lecture by Arnau Padrol at CIRM's thematic meeting.
The Mahler Conjecture, Billiards and Systolic Inequalities
Explore Mahler conjecture, billiards, and systolic inequalities in mathematics. Gain insights from Vinicius Ramos's lecture at IMPA's 70th anniversary conference featuring international mathematicians.
Additive Structures in Subset Sums, Non-Averaging Sets and Convex Geometry
Explore additive structures in subset sums, non-averaging sets, and convex geometry with insights from postdoctoral research in advanced mathematics.
Symplectic Capacities, Viterbo Isoperimetric Conjecture, and Contact Manifolds with Closed Reeb Orbits
Explore symplectic capacities, Viterbo's conjecture, and their impact on symplectic geometry. Gain insights into convex geometry applications and closed Reeb orbits in contact manifolds.
Gromov's Rigidity Theorem for Polytopes with Acute Angles
Explore recent developments in dihedral rigidity, focusing on Gromov's conjecture and Brendle-Wang's alternative smoothing construction for polytopes with acute angles.
Around the Alexandrov-Fenchel Inequality - Convex Geometry and Its Applications
Explore the history and recent progress in convex geometry, focusing on Minkowski's theory and its connections to various mathematical disciplines.
Geometry and Integers - Connections Between Number Theory and Geometric Structures
Explore connections between non-negative integer sets and diverse geometries, examining functions associated with primitive integer vectors and their relation to convex, toric, and birational geometries.
Sharp Stability for the Brunn-Minkowski Inequality for Arbitrary Sets
Explore sharp stability in the Brunn-Minkowski inequality for arbitrary sets, delving into combinatorics and its connections with metric geometry and analysis.
Exponential Decay of Intersection Volume and Applications
Explore exponential decay of intersection volume and its applications in extremal and probabilistic combinatorics with distinguished researcher Hong Liu.
Complex Brunn-Minkowski Theory and Uniqueness Theorems in Kähler Geometry
Explore complex Brunn-Minkowski theory and its applications in Kähler geometry, focusing on uniqueness theorems and generalizations of Bando-Mabuchi's work on Kähler-Einstein metrics.
Derived Categories of the Permutahedral Varieties
Delve into the geometric and combinatorial analysis of derived categories in toric varieties, exploring permutahedron's role in matroid theory through convex-geometric approaches.
Contextuality without Incompatibility in Quantum Measurements
Explore quantum contextuality without measurement incompatibility, challenging conventional understanding. Delve into a new convex-geometric framework for generalized contextuality in quantum systems.
Entangleability of Cones
Explore tensor products of finite-dimensional proper cones, solving Barker's conjecture using convex geometry and algebraic topology, with applications to entanglement in non-classical systems.