12 events found.
Algebra / Number Theory / Combinatorics Seminar
Events
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Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California
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ANTC talk by Dagan Karp (HMC)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California -
ANTC talk by Stephan Garcia (Pomona)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California -
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ANTC talk (Eric Stucky, University of Minnesota)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California -
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Representing integers by multilinear polynomials (Lenny Fukshansky, CMC)
On ZoomGiven a homogeneous multilinear polynomial F(x) in n variables with integer coefficients, we obtain some sufficient conditions for it to represent all the integers. Further, we derive effective results, establishing bounds on the size of a solution x to the equation F(x) = b, where b is any integer. For a special class of polynomials […]
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Region colorings in knot theory (Sam Nelson, CMC)
On ZoomIn this talk we will survey recent developments in the use of ternary algebraic structures known as Niebrzydowski Tribrackets in defining invariants of knots, with some perhaps surprising applications.
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On Hermite’s problem, Jacobi-Perron type algorithms, and Dirichlet groups (Oleg Karpenkov, Liverpool)
On ZoomIn this talk we introduce a new modification of the Jacobi-Perron algorithm in the three dimensional case. This algorithm is periodic for the case of totally-real conjugate cubic vectors. To the best of our knowledge this is the first Jacobi-Perron type algorithm for which the cubic periodicity is proven. This provides an answer in the […]
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The magic of the number three: three explanatory proofs in abstract algebra (Gizem Karaali, Pomona)
On ZoomWhen first learning how to write mathematical proofs, it is often easier for students to work with statements using the universal quantifier. Results that single out special cases might initially […]
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An algebraic introduction to the Kauffman bracket skein algebra (Helen Wong, CMC)
On ZoomThe Kauffman bracket skein algebra was originally defined as a generalization of the Jones polynomial for knots and links on a surface and is one of the few quantum invariants […]
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Critical points of toroidal Belyi maps (Edray Goins, Pomona)
On ZoomA Belyi map $\beta: \mathbb{P}^1(\mathbb{C}) \to \mathbb{P}^1(\mathbb{C})$ is a rational function with at most three critical values; we may assume these values are $\{ 0, \, 1, \, \infty \}$. […]
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New norms on matrices induced by polynomials (Angel Chavez, Pomona)
On ZoomThe complete homogeneous symmetric (CHS) polynomials can be used to define a family of norms on Hermitian matrices. These 'CHS norms' are peculiar in the sense that they depend only on the eigenvalues of a matrix and not its singular values (as opposed to the Ky-Fan and Schatten norms). We will first give a general overview behind […]
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Damerell’s theorem: p-adic version, supersingular case (Pavel Guerzhoy, University of Hawaii)
On ZoomIt is widely believed that Weierstrass ignored Eisenstein's theory of elliptic functions and developed an alternative treatment, which is now standard, because of a convergence issue. In particular, the Eisenstein series of weight two does not converge absolutely while Eisenstein's theory assigned a value to this series. It is now well-known that the quantity which […]