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X-WR-CALNAME:Institute of Mathematics and Informatics
X-ORIGINAL-URL:https://math.bas.bg
X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART:20250330T010000
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DTSTART;TZID=Europe/Sofia:20251126T160000
DTEND;TZID=Europe/Sofia:20251126T173000
DTSTAMP:20260427T190824
CREATED:20251121T195900Z
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UID:18602-1764172800-1764178200@math.bas.bg
SUMMARY:Съвместно заседание на семинара на МЦМН и семинара на секция МОИ
DESCRIPTION:26 ноември 2025 г.\, сряда\, от 16:00 ч. в Зала 403 на ИМИ – БАН. \nСъвместно заседание на Семинара на МЦМН и Семинара на секция Математически основи на информатиката \nFrank Vallentin (Universität zu Köln) \nLeast distortion Euclidean embeddings of flat tori\nРезюме: In the emerging field of bi-Lipschitz invariant theory\, one studies embeddings of orbit spaces H/G (H a Hilbert space\, G a subgroup of its automorphisms) into simpler Hilbert spaces via distance-preserving maps up to a constant factor. \n\nIn this talk\, I present an infinite-dimensional semidefinite program that computes least-distortion embeddings of flat tori Rn/L\, where L is an n-dimensional lattice\, into Hilbert spaces. Using symmetry reduction techniques\, this infinite-dimensional semidefinite program reduces to an infinite-dimensional linear program. \nEven with this simplification\, solving the program remains challenging. By combining this approach with the linear programming bound for spherical designs\, combined with brute-force methods\, we finally are able to determine the least-distortion embeddings of Rn/Zn\, R2/A2\, and R8/E8. \n(Based on joint work with Arne Heimendahl\, Moritz Lücke\, Philippe Moustrou\, and Marc Christian Zimmermann) \n\nLeast distortion Euclidean embeddings of flat tori\, ICMS seminar talk by Frank Vallentin
URL:https://math.bas.bg/event/%d1%81%d1%8a%d0%b2%d0%bc%d0%b5%d1%81%d1%82%d0%bd%d0%be-%d0%b7%d0%b0%d1%81%d0%b5%d0%b4%d0%b0%d0%bd%d0%b8%d0%b5-%d0%bd%d0%b0-%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80%d0%b0-%d0%bd%d0%b0-%d0%bc%d1%86/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
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