f^*-vectors of lattice polytopes (Max Hlavacek, Pomona College)
The Ehrhart polynomial of a lattice polytope P counts the number of integer points in the nth integral dilate of P. The f^* -vector of P, introduced by Felix Breuer […]
12 events found.
Events
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Roberts North 102, CMC
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Geometry and Topology Seminar: Claremont Colleges Course Previews for Spring 2024
Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United StatesOn November 14th, Tuesday from 3-4pm in Fletcher 110, Geometry and Topology Seminar invites students and faculty to a course preview session devoted to a discussion and presentations about upcoming […]
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Adinkra Heights and Color-Splitting Rainbows (Ursula Whitcher, American Mathematical Society)
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesTitle: Adinkra Heights and Color-Splitting Rainbows Speaker: Ursula Whitcher, American Mathematical Society Abstract: Adinkras are decorated graphs that encapsulate information about conjectural relationships between fundamental particles in physics. If we […]
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Continued fractions, directed graphs, and defining spectral triples on Effros-Shen AF algebras (Samantha Brooker, Arizona State University)
Estella 2141 610 N College Ave, Claremont, United StatesThe Effros-Shen algebra corresponding to an irrational number $\theta$ can be described by an inductive sequence of direct sums of matrix algebras, where the continued fraction expansion of $\theta$ encodes […]
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History and Philosophy of Mathematics Seminar: Julia Tomasson (Columbia University)
On ZoomInventing the ‘Islamic Golden Age’: Orientalism and the History of Mathematics Abstract: TBA
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On the Cox ring of a weighted projective plane blown-up at a point (Javier Gonzalez Anaya, HMC)
Roberts North 102, CMCThe Cox ring of a projective variety is the ring of all its meromorphic functions, together with a grading of geometric origin. Determining whether this ring is finitely generated is […]
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What can chicken nuggets tell us about symmetric functions, positive polynomials, random norms, and AF algebras? (Stephan Garcia, Pomona)
Roberts North 102, CMCA simple question about chicken nuggets connects everything from analysis and combinatorics to probability theory and computer-aided design. With tools from complex, harmonic, and functional analysis, probability theory, algebraic combinatorics, and spline theory, we answer many asymptotic questions about factorization lengths in numerical semigroups. Our results yield uncannily accurate predictions, along with unexpected results about […]
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Claremont Topology Seminar: Melody Molander (UCSB)
Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United StatesTitle: Skein Theory of Affine ADE Subfactor Planar Algebras Abstract: Subfactor planar algebras first were constructed by Vaughan Jones as a diagrammatic axiomatization of the standard invariant of a subfactor. These planar algebras also encode two other invariants of the subfactors: the index and the principal graph. The Kuperberg Program asks to find all diagrammatic […]
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“The science of Mathematics is not crystallized into text-books” : The Bryn Mawr Mathematical Journal Club (1896 — 1924), (Jemma Lorenat, Pitzer College)
Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United StatesTitle: “The science of Mathematics is not crystallized into text-books” : The Bryn Mawr Mathematical Journal Club (1896 — 1924) Speaker: Jemma Lorenat, Pitzer College Abstract: As mathematics departments in the United States began to shift toward standards of original research at the end of the nineteenth century, many adopted journal clubs as forums for […]
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GEMS December 2nd Session
Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States -
Skein algebra of a punctured surface (Helen Wong, CMC)
Roberts North 102, CMCThe Kauffman bracket skein algebra of a surface is at once related to quantum topology and to hyperbolic geometry. In this talk, we consider a generalization of the skein algebra due to Roger and Yang for surfaces with punctures. In joint work with Han-Bom Moon, we show that the generalized skein algebra is a quantization […]
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Using quantum statistical mechanical systems to study real quadratic fields (Jane Panangaden, Pitzer College)
Estella 2099The 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 […]