Upcoming Events
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Sep
24
SIGMA Seminar
Galois Representations
Alvaro Lozano-Robledo12:20pmSIGMA Seminar
Galois Representations
Alvaro Lozano-RobledoFriday, September 24th, 2021
12:20 PM - 01:10 PM
Storrs Campus Online
When we study algebraic equations, Galois theory is a fundamental tool. To each polynomial we can associate a group, its Galois group, and from this group we can deduce a lot of information about its algebraic solutions and, conversely, we can deduce properties of its Galois group from the roots of the polynomial. The so-called absolute Galois group of a field \(F\) is an object that is formed from all Galois groups of polynomials over \(F\), and it is the central object of study of algebraic number theory. In this talk, we will explore the absolute Galois group of a field through its representations, which are called Galois representations.
The talk will take place online at https://uconn-cmr.webex.com/meet/all08012
Note: This is a preview of Math 5020 (Topics in Algebra), which is among the math graduate courses being offered for the spring semester. -
Sep
24
Algebra Seminar
Fundamental Identity For Theta Derivatives With Rational Characteristics
Julia Bernatska (University Of Connecticut)3:00pm -
Sep
24
Analysis Learning Seminar
The Dirichlet Problem And Harmonic Measure
Matthew Badger (UConn)3:30pmAnalysis Learning Seminar
The Dirichlet Problem And Harmonic Measure
Matthew Badger (UConn)Friday, September 24th, 2021
03:30 PM - 04:30 PM
Storrs Campus Monteith 313
To kick off the Analysis Learning Seminar for the semester, I will present an introduction to the Dirichlet Problem for harmonic functions, and its co-conspirator, harmonic measure. I'll discuss several ways to solve the Dirichlet problem, using the calculus of variations, using PDE methods, and using probability theory, as well as the connections between them. Kellogg wrote in 1926 that "(T)he Dirichlet problem has recently been through a period of remarkable development. But it is characteristic of scientific progress that each advance raises new questions." This sentiment is still true today, almost 100 years later, and investigations into the analytical properties of harmonic measure and the geometric properties of the associated domain continue today. -
Sep
27
Actuarial Science Seminar
Machine Learning: An Overview And Applications In Banking
Vijay Nair (University Of Michigan)11:00am -
Sep
27
Control And Optimization Seminar
Monte-Carlo Methods For High-Dimensional Problems In Quantitative Finance
Mete Soner (Princeton)2:00pm
