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9/6 Math Club: The Classification of Pythagorean Triples, by Keith Conrad (UConn)
Math Club: The Classification of Pythagorean Triples, by Keith Conrad (UConn)
Wednesday, September 6th, 2023
05:30 PM  06:30 PM
Monteith 111A Pythagorean triple is a set of positive integers a, b, and c that are the sides of a right triangle. Two wellknown examples are (3,4,5) and (5,12,13). There are infinitely many more examples, and in fact there is a formula for all of them.
In this talk, a formula for all Pythagorean triples will be presented and a few derivations of the formula will be given, using both algebra and geometry. One of the derivations has an unexpected connection to integral calculus.
Note: Free refreshments. The talk starts at 5:40.
Contact Information:Keith Conrad (kconrad@math.uconn.edu)
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9/7 Mathematics Colloquium On continuous time bubbling for the harmonic map heat flow in two dimensions Wilhelm Schlag (Yale University)
Mathematics Colloquium On continuous time bubbling for the harmonic map heat flow in two dimensions Wilhelm Schlag (Yale University)
Thursday, September 7th, 2023
03:30 PM  04:30 PM
MONT 214I will describe recent work with Jacek Jendrej (CNRS, Paris Nord) and Andrew Lawrie (MIT) on harmonic maps of finite energy from the plane to the two sphere, without making any symmetry assumptions. While it has been known since the 1990s that bubbling occurs along a carefully chosen sequence of times via an elliptic PalaisSmale mechanism, we show that this continues to hold continuously in time. The key notion is that of the “minimal collision energy” which appears in the soliton resolution result by Jendrej and Lawrie on critical equivariant wave maps.
Contact Information:Ovidiu Munteanu
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9/8 SIGMA Seminar “A Smörgåsbord of Problems Regarding Numerical Dimension Estimates” Erik Wendt
SIGMA Seminar “A Smörgåsbord of Problems Regarding Numerical Dimension Estimates” Erik Wendt
Friday, September 8th, 2023
12:20 PM
Monteith Building
Contact Information: More

9/8 Analysis and Probability Seminar Faculty Talks
Analysis and Probability Seminar Faculty Talks
Friday, September 8th, 2023
02:30 PM  03:30 PM
Monteith Building
Contact Information:sean.li@uconn.edu
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9/13 Math Club: Combinatorial Triangles
Math Club: Combinatorial Triangles
Wednesday, September 13th, 2023
05:30 PM
Monteith BuildingA “combinatorial triangle” is a system of positive integers (or 0) that count something and are convenient to place into a triangular array. The most famous combinatorial triangle is the system of binomial coefficients, but there are many other important examples.
In this week’s meeting, we’ll look together at some specific combinatorial triangles besides the binomial coefficients: Stirling numbers and Eulerian numbers.
Note: Free refreshments.
Contact Information: More

9/15 SIGMA Seminar: “Frequently asked questions on quant interviews” by Asimina Hamakiotes (UConn).
SIGMA Seminar: “Frequently asked questions on quant interviews” by Asimina Hamakiotes (UConn).
Friday, September 15th, 2023
12:20 PM
Monteith Building
Contact Information: More

9/15 Logic Colloquium: Andrew Tedder (Institut Wiener Kreis, Vienna)
Logic Colloquium: Andrew Tedder (Institut Wiener Kreis, Vienna)
Friday, September 15th, 2023
02:00 PM  03:30 PM
ZoomJoin us for a talk in Logic Colloquium!
Andrew Tedder (Institut Wiener Kreis, Vienna)
Negated Implications in Connexive Relevant Logics
This talk investigates the odd fact that one may add connexive theses to relevant logics, giving rise to contraclassical systems, and obtain logics which are not trivial, still obey many of the desired relevance properties, and yet allow one to prove every negated implication. I’ll show why this is the case, and investigate alternative connexive relevant logics in the area that don’t have this undesirable property.
All welcome!
Contact Information:logic@uconn.edu
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9/15 Analysis and Probability Seminar Ludovic Tangpi (Princeton University) Quantitative convergence for displacement monotone mean field games with controlled volatility
Analysis and Probability Seminar Ludovic Tangpi (Princeton University) Quantitative convergence for displacement monotone mean field games with controlled volatility
Friday, September 15th, 2023
02:30 PM  03:30 PM
MONT 313Abstract: In this talk I will present quantitative convergence results for a class of mean field games with common noise and controlled volatility. The basic strategy we employ is the one introduced recently by Laurière and Tangpi – roughly speaking, we use a synchronous coupling argument to prove a “forwardbackward propagation of chaos” result for the FBSDEs which characterize the (openloop) equilibria of the Nplayer and mean field games. Unlike in earlier works which have adopted this strategy, we do not require smallness conditions, and instead rely on monotonicity. In particular, (displacement) monotonicity of the Hamiltonian and the terminal cost allow us to establish a (uniform in N) stability estimate for the Nplayer FBSDEs, which implies the convergence result. The arguments are relatively simple, and flexible enough to yield similar results in the setting of mean field control and infinite horizon (discounted) mean field games.
This talk is based on a join work with Joe Jackson
Contact Information:sean.li@uconn.edu
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9/18 Wenyuan Li (University of Hong Kong) Optimal definedcontribution pension management with financial and mortality risks
Wenyuan Li (University of Hong Kong) Optimal definedcontribution pension management with financial and mortality risks
Monday, September 18th, 2023
11:00 AM  12:00 PM
Contact Information:Bin Zou, bin.zou@uconn.edu
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9/18 PDE and Differential Geometry Seminar Optimal gradient estimates for the insulated conductivity problem Zhuolun Yang (Brown University)
PDE and Differential Geometry Seminar Optimal gradient estimates for the insulated conductivity problem Zhuolun Yang (Brown University)
Monday, September 18th, 2023
02:30 PM  03:30 PM
Monteith BuildingAbstract: In this talk, we will describe an elliptic PDE that models electric conduction, and the electric field concentration phenomenon between closely spaced inclusions of high contrast. In joint work with Hongjie Dong (Brown University) and Yanyan Li (Rutgers University), we considered the case when inclusions are insulators, and obtained optimal gradient estimates in terms of the distance between inclusions. This solved one of the major open problems in this area.
Contact Information:xiaodong.yan@uconn.edu
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9/20 Math Club: Infinitude of the Primes, by Asimina Hamakiotes (UConn)
Math Club: Infinitude of the Primes, by Asimina Hamakiotes (UConn)
Wednesday, September 20th, 2023
05:30 PM
Monteith BuildingA prime number is a number bigger than 1 that is only divisible by 1 and itself. The first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
This list never ends: there are infinitely many primes.In this talk, multiple proofs of the infinitude of primes will be presented.
Note: Free refreshments. The talk starts at 5:40.
Contact Information:Keith Conrad (kconrad@math.uconn.edu)
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9/22 Probability and Data Science Colloquium
Probability and Data Science Colloquium
Friday, September 22nd, 2023
09:30 AM  10:30 AM
OnlineSpeaker: Antonio Auffinger (Northwestern University)
Title: Dimension Reduction Methods for Data Visualization
Abstract:
The purpose of dimension reduction methods for data visualization is to project high dimensional data to 2 or 3 dimensions so that humans can understand some of its structure. In this talk, we will overview some of the most popular and powerful methods in this active area. We will then the focus on two algorithms: Stochastic Neighbor Embedding (SNE) and Uniform Manifold Approximation and Projection (UMAP). Here, we will present rigorous results that establish an equilibrium distribution for these methods when the number of data points diverge in the presence of pure noise or with a planted signal.
Based on joint work with Daniel Fletcher (Northwestern).Join Zoom MeetingMeeting ID: 916 6333 5832Passcode: 510501
Contact Information:zhongyang.li@uconn.edu
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9/22 SIGMA SeminarAMS/AWM/SIAM Graduate Student Chapters
SIGMA SeminarAMS/AWM/SIAM Graduate Student Chapters
Friday, September 22nd, 2023
12:20 PM
Monteith Building
Contact Information: More

9/23 2023 Northeast Analysis Network Meeting
2023 Northeast Analysis Network Meeting
Saturday, September 23rd, 2023
12:00 AM  11:59 PM
University of RochesterUConn Mathematics is a participating member of the Northeast Analysis Network. The 2023 meeting will take place on Saturday and Sunday, September 2324, 2023 at the University of Rochester. Analysis and Probability seminar participants are encouraged to attend. Travel funding is available for UConn Math PhD students and postdocs. Conference information is available at https://sites.google.com/site/northeastanalysisnetwork/
Contact Information:matthew.badger@uconn.edu
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9/25 PDE and Differential Geometry Seminar, Testing Curvature Pinching Conditions under the Laplacian Flow, Aaron Kennon (University of California, Santa Barbara)
PDE and Differential Geometry Seminar, Testing Curvature Pinching Conditions under the Laplacian Flow, Aaron Kennon (University of California, Santa Barbara)
Monday, September 25th, 2023
02:30 PM  03:30 PM
Monteith 214Abstract: The Laplacian flow is a geometric flow of G2Structures that aims to flow closed G2Structures to torsionfree G2Structures, the latter of which have metrics with special holonomy. A special class of closed G2Structures are the Extremally RicciPinched (ERP) G2Structures, which are as Riccipinched as possible without being torsionfree. We introduce an ansatz valid on any manifold with an ERP G2Structure and consider how the Laplacian flow behaves with regards to this ansatz. As a result, we are able to better understand the significance of the ERP condition and motivate more general results to prove concerning longtime existence and convergence of the Laplacian flow to torsionfree G2Structures.
Contact Information:ovidiu.munteanu@uconn.edu
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9/27 Math Club: Euler’s Constant
Math Club: Euler’s Constant
Wednesday, September 27th, 2023
05:30 PM
Monteith BuildingThis week in the math club, we will look at an important number called Euler’s constant, which is around .57721. We’ll see where it comes from, different ways to estimate it, and some famous unsolved problems about this number.
Note: Free refreshments.
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9/28 Mathematics Colloquium, Some recent development in minimal surface theory, Xin Zhou (Cornell University)
Mathematics Colloquium, Some recent development in minimal surface theory, Xin Zhou (Cornell University)
Thursday, September 28th, 2023
03:30 PM  04:30 PM
MONT 214We will present some recent progress on two problems in minimal surface theory posed by S. T. Yau in 1982. In particular, we will discuss the existence of infinitely many closed minimal hypersurfaces in a closed Riemannian manifold and the existence of four closed minimal twospheres in a Riemannian threesphere.
Contact Information:Ovidiu Munteanu
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9/29 Linguistics Colloquium Series: Philippe Schlenker
Linguistics Colloquium Series: Philippe Schlenker
Friday, September 29th, 2023
02:00 PM  04:00 PM
OnlinePhilippe Schlenker
Contact Information:athanasios.iliadis@uconn.edu
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