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DTSTART;TZID=America/Los_Angeles:20240123T121500
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SUMMARY:Using quantum statistical mechanical systems to study real quadratic fields (Jane Panangaden\, Pitzer College)
DESCRIPTION:The original Bost-Connes system was constructed in 1990 and is a QSM system with deep connections to the field of rationals. In particular\, its partition function is the Riemann-zeta function and its ground states evaluated on certain arithmetic objects yield generators of the maximal Abelian extension of the rationals. In this talk we describe the construction of a related QSM system adapted to the study of real quadratic fields\, called the Boundary GL2 System. We describe its thermal properties and show how these relate to class field theory of real quadratic fields. These results are joint work with Matilde Marcolli.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-jane-panangaden-pitzer-college/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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SUMMARY:Graph Complexes and Moduli Spaces of Curves (Siddarth Kannan\, UCLA)
DESCRIPTION:Title: Graph Complexes and Moduli Spaces of Curves \nSpeaker: Siddarth Kannan\, UCLA \nAbstract: I will begin by defining a certain combinatorial object called a graph complex. Then I will give a brief introduction to the moduli space of curves. The study of the geometry of this moduli space has occupied several generations of mathematicians\, across fields such as algebraic and differential geometry\, mathematical physics\,  geometric group theory\, and more. Finally\, I will describe the beautiful connection between the graph complex and the topology of the moduli space. \n\n\n\n\n\nI am currently a postdoc at UCLA. I obtained my PhD from Brown University in 2023\, after graduating from Pomona College in 2018. I first became interested in the combinatorial aspects of algebraic geometry while working with Prof. Dagan Karp as an undergraduate.
URL:https://colleges.claremont.edu/ccms/event/graph-complexes-and-moduli-spaces-of-curves-siddarth-kannan-ucla/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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