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DTSTART;TZID=America/New_York:20260202T163000
DTEND;TZID=America/New_York:20260202T173000
DTSTAMP:20260502T025717
CREATED:20251223T190540Z
LAST-MODIFIED:20260122T163725Z
UID:10003849-1770049800-1770053400@cmsa.fas.harvard.edu
SUMMARY:Bijections for hyperplane arrangements of Coxeter type
DESCRIPTION:Colloquium \nSpeaker: Olivier Bernardi\, Brandeis University \nTitle: Bijections for hyperplane arrangements of Coxeter type \nAbstract: This talk is about real hyperplane arrangements whose hyperplanes are of the form {xi −xj = s} or {xi +xj = s}. We describe a bijective framework for a large family of such arrangements which we call transitive. For each transitive arrangement A\, we give a bijection between the regions of A and a set of decorated trees. Particular cases include the families of Catalan\, Shi\, semiorder and Linial arrangements in type A\, B\, C\, D and BC. We also derive some general enumerative formulas for such families of transitive arrangements.
URL:https://cmsa.fas.harvard.edu/event/colloquium-2226/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-2.2.2026.docx-scaled.png
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DTSTART;TZID=America/New_York:20260209T163000
DTEND;TZID=America/New_York:20260209T173000
DTSTAMP:20260502T025717
CREATED:20251223T190623Z
LAST-MODIFIED:20260203T162207Z
UID:10003850-1770654600-1770658200@cmsa.fas.harvard.edu
SUMMARY:Phase Transition to Chaos in Complex Ecosystems with Non-reciprocal Interactions
DESCRIPTION:Colloquium \nSpeaker: Pankaj Metha\, Boston University \nTitle: Phase Transition to Chaos in Complex Ecosystems with Non-reciprocal Interactions \nAbstract: Nonreciprocal interactions between microscopic constituents can profoundly shape the large-scale properties of complex systems. In this pedagogical chalk talk\, I will discuss recent work from our group on phase transitions and chaos in high-dimensional ecosystems with non-reciprocal interactions. Our approach builds on a generalization of MacArthur’s consumer-resource model that incorporates asymmetric interactions between species and resources. I will highlight rich connections between this problem and the mathematics of disordered systems (cavity method and DMFT)\, random matrix theory\, and constrained optimization.
URL:https://cmsa.fas.harvard.edu/event/colloquium-2926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-2.9.2026.docx-scaled.png
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