# Program

Venue:
Math. Inst. of the Budapest University of Technology and Economics
Egry József u. 1., Budapest  https://goo.gl/maps/cm53qazuWEQWsft6A   Building E, Room E1A

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Tuesday, July 9

Tuesday, July 9
9:30-10:10 Almost similar triangles [+]
Coffee break
10:35-11:15 Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures [+]
11:20-12:00 On Erdős--Szekeres-type problems for $k$-convex point sets [+]
Lunch break
14:00-14:40 Local Search for Geometric Optimization Problems [+]
14:45-15:05 Flip cycles in combinatorial configurations [+]
Coffee break
15:35-15:55 The Kuperberg conjecture for translates of convex bodies [+]
16:00-16:20 On packings of infinite unit cylinders touching a unit ball in the $L^1$-norm [+]
16:25-16:45 Cube is a strict local minimizer for the illumination problem [+]
Short break
17:00-17:20 Combinatorial aspects of reduced polytopes [+]
17:25-17:45 On hyperbolic manifolds with uniform discrete involution in the symmetry group [+]
17:50-18:10 Bounding the number of unit simplices determined by a set of $n$ points in $\mathbb{R}^d$  [+]

Wednesday, July 10

Wednesday, July 10
9:00-9:40 Disjointness graphs of strings [+]
9:45-10:05 Mechanical complexity of convex polyhedra [+]
Coffee break
10:35-11:15 Shape reconstruction in Bregman geometry [+]
11:20-12:00 The polynomial method in geometry [+]
Lunch break
14:00-14:40 The book proof of a conjecture of Erdős and Purdy [+]
14:45-15:05 Perron and Frobenius meet Carathéodory and their other adventures [+]
Coffee break
15:35-15:55 Pairs of convex bodies in planes of constant curvature with axially symmetric intersections of congruent copies [+]
16:00-16:20 Spectral Methods for Symmetric Polytopes [+]
16:25-16:45 Finding Needles in a Haystack [+]
16:50-17:10 On the shadows of the cube [+]

Thursday, July 11

Thursday, July 11
9:00-9:40 Around Radon's theorem [+]
9:45-10:05 On discrete and continuous quantitative Helly theorems [+]
Coffee break
10:35-11:15 Dense point sets with many halving lines [+]
11:20-11:40 Large homogeneous submatrices [+]
11:45-12:05 The Regge symmetry, confocal conics, and the Schläfli formula [+]
Lunch break
14:00-14:40 On uniform contractions of congruent balls [+]
14:45-15:05 Random parallelotopes in isotropic vector systems [+]
Coffee break
15:35-15:55 Convex fair partitions into an arbitrary number of pieces [+]
16:00-16:20 Longest k-monotone chains [+]
16:25-16:45 The structure of sets of vectors in the plane whose sums span a few directions [+]
Short break
17:00-17:20 Packing 13 circles in an equilateral triangle [+]

Friday, July 12

Friday, July 12
9:00-9:40 On the volume ratio between convex bodies [+]
9:45-10:05 Projections of the standard basis and the volume of associated polytopes [+]
Coffee break
10:35-11:15 On a local version of the fifth Busemann-Petty problem [+]
11:20-11:40 On Grünbaum-type inequalities and their applications [+]
11:45-12:05 Equipartitions and Mahler's conjecture [+]
Lunch break
14:00-14:20 Extensions of dual affine quermassintegrals to flag manifolds [+]
14:25-14:45 Polynomial and non-polynomial systems in solving discrete geometry problems [+]
14:50-15:10 Discrete surfaces with length and area and minimal fillings of the circle [+]
Coffee break
15:40-16:00 On space form problem [+]
16:05-16:25 Upper bound on density of congruent hyperball packings in hyperbolic $3-$space [+]