Week of Events
Applied Math Seminar: Adam Yassine (Pomona College)
Applied Math Seminar: Adam Yassine (Pomona College)
Title: On the Composition of Classical Mechanical Systems Abstract: Compositionality is a basic principle for understanding the physical world. The underlying idea is to study a system by studying the ways in which the components of the system compose to form the system. Category theory is an area in mathematics that is particularly well-suited for […]
History and Philosophy of Mathematics Seminar: Kris Palmieri (University of Chicago)
History and Philosophy of Mathematics Seminar: Kris Palmieri (University of Chicago)
True Grit: Writing the History of Women at Yerkes Observatory, 1895–1950 Abstract: Women at Yerkes Observatory earned advanced degrees, conducted their own research, collaborated on projects with peers of both sexes, and authored publications in their own names in the first half of the Twentieth Century. Yet Alice Hall Farnsworth, Mary Murray Hopkins, Harriet McWilliams […]
f^*-vectors of lattice polytopes (Max Hlavacek, Pomona College)
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 in 2012, is the vector of coefficients of the Ehrhart polynomial with respect to the binomial coefficient basis . Similarly to h and h^* -vectors, […]
Geometry and Topology Seminar: Claremont Colleges Course Previews for Spring 2024
Geometry and Topology Seminar: Claremont Colleges Course Previews for Spring 2024
On 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 Spring 2024 courses in geometry, topology and/or with applications in geometry and topology to help students make their enrollment choices. We will have some refreshments […]
Adinkra Heights and Color-Splitting Rainbows (Ursula Whitcher, American Mathematical Society)
Adinkra Heights and Color-Splitting Rainbows (Ursula Whitcher, American Mathematical Society)
Title: 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 color the edges of an Adinkra with a rainbow of shades in a specific order, we obtain a special curve that we can study usingalgebraic […]
Continued fractions, directed graphs, and defining spectral triples on Effros-Shen AF algebras (Samantha Brooker, Arizona State University)
Continued fractions, directed graphs, and defining spectral triples on Effros-Shen AF algebras (Samantha Brooker, Arizona State University)
The 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 the dimensions of the summands, and how the matrix algebras at the nth level fit into the summands at the (n+1)th level. In recent work, […]