# Calendar

Feb
11
Thu
Non-Commutative Geometry Seminar @ Keller 404
Feb 11 @ 3:00 pm – 4:00 pm

See organizers Rufus, Alan or Robin for details.

Undergraduate Colloquium – Asaf Hadari (UH Mānoa) @ Bilger 335
Feb 11 @ 3:00 pm – 4:00 pm

Speaker: Asaf Hadari (UH Mānoa)

Title: Hilbert’s third problem – how to cut and paste using linear algebra

Abstract: In the year 1900 the mathematician David Hilbert famously gave a list of 21 problems that he felt were the most important challenges facing the mathematical community of the day.

The third problem, though stated differently, essentially asked whether it was necessary to use calculus to do basic geometry in three dimensions. For instance, is there a geometric way to calculate the volume of a pyramid?

This was the first of his problems that was answered, using a neat idea from linear algebra. I’ll show you how, and discuss some of the neat mathematics surrounding this problem.

Feb
12
Fri
Colloquium – Amy Feaver (The King’s University) @ Keller 401
Feb 12 @ 3:30 pm – 4:30 pm

Speaker: Amy Feaver (The King’s University)

Title: The Structure of Multiquadratic Number Fields

Abstract: In this talk, we will discuss the basic structure of multiquadratic number fields: that is, fields of the form $K:=\mathbb{Q}\left(\sqrt{a_1},\sqrt{a_2},…,\sqrt{a_n}\right)$ for $a_1,…,a_n\in\mathbb{Z}$ squarefree. We will begin by discussing subfields of $K$ and what we are able to know about $K$ based on its subfields. We will then define the ring of integers for these fields, and discuss several properties of these rings. These properties will include prime factorizations and the existence of a Euclidean algorithm (or lack thereof).

Feb
18
Thu
Non-Commutative Geometry Seminar @ Keller 404
Feb 18 @ 3:00 pm – 4:00 pm

See organizers Rufus, Alan or Robin for details.

Feb
23
Tue
Theory of Computation Seminar @ Physical Science Building 317
Feb 23 @ 2:20 pm – 3:00 pm

Jason Castiglione (ICS, UH-Manoa) will explain the Berlekamp-Massey algorithm for decoding pseudorandom output from a linear feedback state register.

Analysis Seminar – Robin Deeley @ Keller 401
Feb 23 @ 3:30 pm – 4:30 pm

Speaker: Robin Deeley, UH – Manoa

Title: Local index theory: an overview

Abstract: I will review the statement of the Atiyah-Singer index theorem with the aim of discussing local index theory. The main aim of this theory is to replace the cohomology class in the statement of the index theorem with an explicitly constructed differential form. This can be done for Dirac type operators using the heat kernel. Outlining this process is the main goal of the talk, but applications will also be discussed if time permits.

Feb
25
Thu
PhD Defense – Jean Verrette @ Keller 301
Feb 25 @ 9:00 am – 10:00 am

Title: Algebraic Realization of Complex Equivariant Vector bundles over the 2-Sphere with actions by Rotational Symmetry Groups of the Platonic Solids

Dissertation Draft

Abstract: We verify the Algebraic Realization Conjecture for complex equivariant vector bundles over the 2-sphere with effective actions by the rotational symmetries of the tetrahedron, octahedron, and icosahedron. We introduce three strongly algebraic complex line bundles over the 2-sphere by constructing classifying maps. We demonstrate how every equivariant complex line bundle is a tensor product of these three established strongly algebraic bundles, and any equivariant complex vector bundle over the 2-sphere is a Whitney sum of equivariant complex line bundles. Our classification proofs rely on equivariant CW complex constructions and the induced equivariant pointed cofibration sequences.

Non-Commutative Geometry Seminar @ Keller 404
Feb 25 @ 3:00 pm – 4:00 pm

See organizers Rufus, Alan or Robin for details.