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1/7Probabillity And Data Science Colloquium
Probabillity And Data Science Colloquium
Thursday, January 7th, 2021
02:00 PM  03:00 PM
Storrs Campus
OnlineWeekly colloquium with invited external speakers
Contact Information: Zhongyang Li More

1/14Probabillity And Data Science Colloquium
Probabillity And Data Science Colloquium
Thursday, January 14th, 2021
02:00 PM  03:00 PM
Storrs Campus
OnlineWeekly colloquium with invited external speakers
Contact Information: Zhongyang Li More

1/21Probabillity And Data Science Colloquium
Probabillity And Data Science Colloquium
Thursday, January 21st, 2021
02:00 PM  03:00 PM
Storrs Campus
OnlineWeekly colloquium with invited external speakers
Contact Information: Zhongyang Li More

1/25PDE And Differential Geometry Seminar
A Geometric Flow For Type IIA Superstrings
Xiangwen Zhang (UCI)PDE And Differential Geometry Seminar
Monday, January 25th, 2021
A Geometric Flow For Type IIA Superstrings
Xiangwen Zhang (UCI)
02:30 PM  03:30 PM
Storrs Campus
onlineAbstract: The equations of flux compactifications of Type IIA superstrings were written down by Tomasiello and TsengYau. To study these equations, we introduce a natural geometric flow on symplectic CalabiYau 6manifolds. We prove the wellposedness of this flow and establish the Shitype estimates which provides a criterion for the long time existence. As an application, we make use of our flow to find optimal almost complex structures on certain homogeneous symplectic halfflat manifolds. This is based on joint work with Fei, Phong and Picard.
Contact Information: zhongshan.an@uconn.edu More

1/27Algebra Seminar
Nef Classes On SelfProducts Of Curves
Mihai Fulger (University of Connecticut)Algebra Seminar
Wednesday, January 27th, 2021
Nef Classes On SelfProducts Of Curves
Mihai Fulger (University of Connecticut)
11:15 AM  12:05 PM
Storrs Campus
Online on WebExThe nef cone of projective varieties is an important invariant that captures geometric information. Computing it is already difficult on surfaces, as evidenced by the Nagata conjecture. We focus on a related example, the selfproduct of a curve (Riemann surface) with itself. We exhibit one nontrivial example of a nef class on the boundary of the nef cone. This is in joint work with Takumi Murayama.
Contact Information: mihai.fulger@uconn.edu More

1/27Math Club
Impossible integrals
Keith Conrad (UConn)Math Club
Wednesday, January 27th, 2021
Impossible integrals
Keith Conrad (UConn)
05:45 PM  06:35 PM
Storrs Campus
OnlineA function's derivative is not more complex than the function itself and can be simpler: polynomials and trig functions have polynomial and trig derivatives, and logarithmic functions have rational function derivatives. But integrating can lead to functions that are far more complex than the original function. Why is that?
The goal of this talk is to explain why you "can't integrate" functions such as \(e^{x^2}\) and arc length integrals on the graph of \(y = x^3\). We will start by explaining what such impossibility results are saying as well as what they are \(not\) saying, and then discuss theorems of Chebyshev and Liouville that impose strong restrictions on integrals that have a "nice" formula.
Note: Join the meeting at https://uconnvtc.webex.com/meet/mathclub
Contact Information: Keith Conrad More

1/28Probability And Data Science Colloquium
Phase Transitions In Random Constraint Satisfaction Problems
Speaker: Nike Sun (MIT)Probability And Data Science Colloquium
Thursday, January 28th, 2021
Phase Transitions In Random Constraint Satisfaction Problems
Speaker: Nike Sun (MIT)
01:30 PM  02:30 PM
Storrs Campus
OnlineAbstract: I will survey recent progress in determination of asymptotic behavior for random constraint satisfaction problems, including phase transitions and some understanding of solution geometry, particularly in the setting of the random regular NAESAT problem. I will discuss (as time permits) two ideas that played important roles in results obtained so far: (1) combinatorial models for the solution geometry, and (2) contractivity of tree recursions as a tool for calculating expected partition functions on sparse random graphs. This lecture is based in part on joint works with Zsolt Bartha, Jian Ding, Allan Sly, and Yumeng Zhang.
Contact Information: Zhongyang Li More

1/29SIGMA Seminar
On Holonomy, An Invitation To Riemannian Geometry
Gianmarco MolinoSIGMA Seminar
Friday, January 29th, 2021
On Holonomy, An Invitation To Riemannian Geometry
Gianmarco Molino
03:00 PM  04:00 PM
Storrs Campus
OnlineAbstract: In the study of geometry there arises a natural notion of the parallel transport of vectors along surfaces and their higher dimensional generalizations. It is interesting to ask: How many ways can a vector at a point be (parallel) transported along a loop returning to the same point? The group of isometries generated in this way is called the holonomy group, and its structure reveals information about the underlying space.
In this talk we’ll cover some essential ideas of Riemannian geometry in order to arrive at a discussion of the holonomy of Riemannian manifolds; in particular we’ll discuss the Berger classification theorem, the holonomy of symmetric spaces, and some ongoing directions of research in subRiemannian geometry. The presentation will be accessible to those without background in Riemannian geometry.
Contact Information: Bailey Johnson More