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4/3PDE and Differential Geometry Seminar
4dimensional specific aspects of Ricci flows
Tristan OzuchMeersseman (MIT)PDE and Differential Geometry Seminar
Monday, April 3rd, 2023
4dimensional specific aspects of Ricci flows
Tristan OzuchMeersseman (MIT)
02:30 PM  03:30 PM
Storrs Campus
Monteith 313Abstract: Ricci flow has been extensively studied, and most results are either specific to dimension 3 or valid in any dimension. However, given the potential topological applications, a theory specific to the 4dimensional situation is desirable. In this discussion, I will present tools and techniques that are unique to the dimension 4.
Together with A. Deruelle, we introduce a notion of stability for orbifold singularities. This notion helps to explain the formation of orbifold singularities along Ricci flow and lets us construct large classes of ancient Ricci flows. In collaboration with K. Naff, we utilize selfduality in dimension 4 to simplify the evolution equations of curvature. Among other things, this approach lets us to uncover intriguing links between Ricci flow and YangMills flow.
https://math.mit.edu/directory/profile?pid=2272
Contact Information: dong@uconn.edu More

4/4Doctoral Dissertation Oral Defense of Teerawat Thewmorakot
Doctoral Dissertation Oral Defense of Teerawat Thewmorakot
Tuesday, April 4th, 2023
10:00 AM  11:00 AM
Storrs Campus
Monteith 214 (Colloquium Room)Computability Theory on Polish Metric Spaces
Doctoral field of study: Mathematics
Contact Information: David Reed Solomon, david.solomon@uconn.edu More

4/5Algebra Seminar
Title TBA
Speaker TBA (TBA)Algebra Seminar
Wednesday, April 5th, 2023
Title TBA
Speaker TBA (TBA)
11:15 AM  12:05 PM
Storrs Campus
Monteith 313TBA
Contact Information: mihai.fulger@uconn.edu More

4/5Math Club
Fermat's Last Theorem DocumentaryMath Club
Wednesday, April 5th, 2023
Fermat's Last Theorem Documentary
05:30 PM  06:30 PM
Storrs Campus
Monteith 214Fermat's Last Theorem says the equation \(x^n + y^n = z^n\) has no solution in positive integers when \(n \geq 3\).
This problem was posed by Fermat in the 1600s and a proof of it was announced by Andrew Wiles 30 years ago, on June 23, 1993. This news made the top of the front page of the New York Times, which is quite unusual for an article on mathematics.
In this meeting, we'll watch a documentary about this problem that features Wiles, his colleagues, and other mathematicians whose work played a role in the resolution of Fermat's Last Theorem.
Before the documentary there will be a brief presentation about the link between Fermat's Last Theorem and
elliptic curves, which was the topic of last week's math club meeting.
Note: Free refreshments.
Contact Information: Keith Conrad More

4/6Mathematics Colloquium
Connecting SchrammLoewner evolution to Teichmuller theory
Yilin Wang (IHES)Mathematics Colloquium
Thursday, April 6th, 2023
Connecting SchrammLoewner evolution to Teichmuller theory
Yilin Wang (IHES)
03:30 PM  04:30 PM
Storrs Campus
Mont 214The Loewner energy for Jordan curves is first introduced as the action functional of SchrammLoewner evolution (SLE), a family of random fractal curves modeling interfaces in 2D statistical mechanics. On the other hand, we show that the Loewner energy coincides with the universal Liouville action introduced by Takhtajan and Teo, which is a Kahler potential for the WeilPetersson metric on Universal Teichmueller space. This unexpected link suggests that more geometric structures are hidden underneath the probabilistic theory of SLE. I will give an overview of the link between SLE and Kahler geometry of Universal Teichmuller space and a first glimpse into the territory the link has opened up to.
Contact Information: Ovidiu Munteanu More

4/7SIGMA Seminar
On the Strength of \(\Sigma_0^1\) Maximal Subfamily Principles
Heidi Benham
(UConn)SIGMA Seminar
Friday, April 7th, 2023
On the Strength of \(\Sigma_0^1\) Maximal Subfamily Principles
Heidi Benham
(UConn)
01:20 PM  02:10 PM
Storrs Campus
MONT 214One of the major concerns of the study of reverse mathematics is determining the axiomatic strength of theorems. The focus of this talk is to discuss the axiomatic strength of a particular set of principles,
namely, what will be referred to as “maximal subfamily principles,” which assert the existence of a
maximal subfamily for which a particular \(\Sigma_0^1\) property holds for any pair of sets in the family. It has
already been shown that the addition of the 2 Intersection Principle (which states that every nontrivial family of sets has a maximal subset for which the intersection of each pair of sets is nonempty) to RCA\(_0\) (the subsystem of computable mathematics) is strictly stronger than RCA\(_0\) on its own. Since the 2 Intersection Principle (2IP) is itself a maximal subfamily principle defined by a \(\Sigma_0^1\) property, a natural question that arises is whether there is a principle of this type with a strength strictly above or between RCA\(_0\) and 2IP or if the strength of each maximal subfamily principle of this type is equal to either that
of RCA\(_0\) or 2IP.
Contact Information: rachel.bailey@uconn.edu More

4/7Analysis and Probability Seminar
Anna RozanovaPierrat (CentraleSupelec, ParisSaclay)
Existence of optimal shapes in linear acoustics in the Lipschitz and nonLipschitz classes of domainsAnalysis and Probability Seminar
Friday, April 7th, 2023
Anna RozanovaPierrat (CentraleSupelec, ParisSaclay)
Existence of optimal shapes in linear acoustics in the Lipschitz and nonLipschitz classes of domains
02:30 PM  03:30 PM
Storrs Campus
Monteith 313To find the most efficient shape of a noiseabsorbing wall to dissipate the acoustical energy of a sound wave, we consider a frequency model described by the Helmholtz equation with damping on the boundary modeled by a complexvalued Robin Boundary condition. We introduce a class of admissible Lipschitz boundaries, in which an optimal shape of the wall ensures the infimum of the acoustic energy. Then we also introduce a larger compact class of (ε, ∞)  or uniform domains with possibly nonLipschitz (for example, fractal) boundaries in which an optimal shape exists, giving the minimum of the energy. The boundaries are described as the supports of Radon measures ensuring their Hausdorff dimension in the segment [n−1, n) . A byproduct of our proof is that the class of bounded (ε, ∞) domains with fixed ε is stable under Hausdorff convergence. Another related result is the Mosco convergence of Robintype energy functionals on converging domains.
Contact Information: matthew.badger@uconn.edu More

4/10PDE and Differential Geometry Seminar
Compactness and Regularity for a Generalized AvilesGiga Functional
Guanying Peng (Worcester Polytechnic Institute)PDE and Differential Geometry Seminar
Monday, April 10th, 2023
Compactness and Regularity for a Generalized AvilesGiga Functional
Guanying Peng (Worcester Polytechnic Institute)
02:30 PM  03:30 PM
Storrs Campus
Monteith 313Abstract: The classical AvilesGiga functional is a second order energy functional that models phenomena from thin film blistering to smectic liquid crystals. In this talk we will discuss a generalized AvilesGiga functional in 2D that was first studied by Bochard and Pegon. The zero set of the potential in this generalized functional is a strictly convex $C^1$ submanifold with certain symmetry, instead of $\mathbb{S}^1$ in the classical case. Among other things, we generalize the notion of entropies, and use this tool to establish compactness for sequences with bounded energy and regularity for finite energy states. Our regularity result is also closely related to regularity of finite entropy solutions for a class of scalar conservation laws in 1D. This is joint work with Xavier Lamy and Andrew Lorent.
https://www.wpi.edu/people/faculty/gpeng
Contact Information: dong@uconn.edu More

4/12Algebra Seminar
Title TBA
Benjamin Dequêne (Université du Québec à Montréal)Algebra Seminar
Wednesday, April 12th, 2023
Title TBA
Benjamin Dequêne (Université du Québec à Montréal)
11:15 AM  12:05 PM
Storrs Campus
Monteith 313TBA
Contact Information: mihai.fulger@uconn.edu More

4/12Math Club
Minimal Surfaces
Cole Durham (UConn)Math Club
Wednesday, April 12th, 2023
Minimal Surfaces
Cole Durham (UConn)
05:30 PM  06:30 PM
Storrs Campus
Monteith 214TBA
Note: Free refreshments. The talk starts at 5:40.
Contact Information: Keith Conrad (kconrad@math.uconn.edu) More

4/13Mathematics Colloquium
Title TBA
Ellen Powell (Durham University)Mathematics Colloquium
Thursday, April 13th, 2023
Title TBA
Ellen Powell (Durham University)
03:30 PM  04:30 PM
Storrs Campus
OnlineTBA
Contact Information: Ovidiu Munteanu More

4/14SIGMA Seminar
Bias Variance Tradeoff in Machine Learning
Emiliano Valdez (UConn)SIGMA Seminar
Friday, April 14th, 2023
Bias Variance Tradeoff in Machine Learning
Emiliano Valdez (UConn)
01:20 PM  02:10 PM
Storrs Campus
MONT 214TBA
Contact Information: rachel.bailey@uconn.edu More

4/17Doctoral Dissertation Oral Defense of Yuance He
Doctoral Dissertation Oral Defense of Yuance He
Monday, April 17th, 2023
09:00 AM  10:00 AM
Storrs Campus
MONT 214Thesis topic: Retirement Financial Planning with Basic Expenses Model
Ph.D. in Mathematics with Thesis in Actuarial Science
Contact Information: Jeyaraj Vadiveloo, jeyaraj.vadiveloo@uconn.edu More

4/17PDE and Differential Geometry Seminar
Title: TBD
Florian Johne (Columbia University)PDE and Differential Geometry Seminar
Monday, April 17th, 2023
Title: TBD
Florian Johne (Columbia University)
02:30 PM  03:30 PM
Storrs Campus
Monteith 313
Contact Information: dong@uconn.edu More

4/19Algebra Seminar
The Seshadri Constants the Tangent Bundles of Toric Varieties
ChihWei Chang (National Taiwan University and UT Austin)Algebra Seminar
Wednesday, April 19th, 2023
The Seshadri Constants the Tangent Bundles of Toric Varieties
ChihWei Chang (National Taiwan University and UT Austin)
11:15 AM  12:05 PM
Storrs Campus
Monteith 313The Seshadri constants of vector bundles are important local positivity invariants. We compute them for tangent bundles of toric varieties. In particular we confirm the toric case of a conjecture of Fulger and Murayama.
Contact Information: mihai.fulger@uconn.edu More

4/19Math Club
Preparing For (Math) Grad School
Panel DiscussionMath Club
Wednesday, April 19th, 2023
Preparing For (Math) Grad School
Panel Discussion
05:30 PM  06:30 PM
Storrs Campus
Monteith 214If you are considering graduate school in mathematics or related areas after college, come to this panel discussion where you will hear from members of the UConn math department about their experiences planning for and applying to graduate school. The discussion will then be opened to answer your questions. A packet containing a suggested reading list and some general advice will be provided too.
Note: Free refreshments. The event starts at 5:40.
Contact Information: Keith Conrad More

4/21Logic Colloquium: Liesbeth De Mol (Lille)
Logic Colloquium: Liesbeth De Mol (Lille)
Friday, April 21st, 2023
10:00 AM  11:30 AM
Storrs Campus
ZoomJoin us in the Logic Colloquium for a talk by Liesbeth De Mol!
Detail t.b.a.
https://logic.uconn.edu/calendar/
Contact Information: logic@uconn.edu More

4/21SIGMA Seminar
TBA
Tala Yasenpoor (UConn)SIGMA Seminar
Friday, April 21st, 2023
TBA
Tala Yasenpoor (UConn)
01:20 PM  02:10 PM
Storrs Campus
MONT 214TBA
Contact Information: rachel.bailey@uconn.edu More

4/21Analysis and Probability Seminar
Xin Dong
TBAAnalysis and Probability Seminar
Friday, April 21st, 2023
Xin Dong
TBA
02:30 PM  03:30 PM
Storrs Campus
Monteith 313TBA
Contact Information: matthew.badger@uconn.edu More

4/21Probability and Data Science Colloquium
Probability and Data Science Colloquium
Friday, April 21st, 2023
09:30 PM  10:30 PM
Storrs Campus
OnlineSpeaker: Sanjay Ramassamy
(Université ParisSaclay)
Contact Information: zhongyang.li@uconn.edu More

4/26Algebra Seminar
Title TBA
Alexey Pozdnyakov (University of Connecticut)Algebra Seminar
Wednesday, April 26th, 2023
Title TBA
Alexey Pozdnyakov (University of Connecticut)
11:15 AM  12:05 PM
Storrs Campus
Monteith 313TBA
Contact Information: mihai.fulger@uconn.edu More

4/28Analysis and Probability Seminar
Olga Chekeres (UConn)
TBAAnalysis and Probability Seminar
Friday, April 28th, 2023
Olga Chekeres (UConn)
TBA
02:30 PM  03:30 PM
Storrs Campus
Monteith 313TBA
Contact Information: matthew.badger@uconn.edu More

4/28Annual Math Department Awards Day Ceremony
Annual Math Department Awards Day Ceremony
Friday, April 28th, 2023
03:30 PM  05:00 PM
Storrs Campus
Schenker Lecture HallJoin us in celebrating our undergraduate and graduate students' achievements this year! A small reception for will be held at 3:30pm, and then the award ceremony will begin at 4:00pm.
Contact Information: Rachel D'Antonio More