- All Seminars
- Actuarial Science Seminar
- Algebra Seminar
- Analysis Learning Seminar
- Analysis and Probability Seminar
- Cluster Algebras Seminar
- Connecticut Logic Seminar
- Discrete Mathematics Seminar and Statistical Mechanics Seminar
- Math Club Talks
- Mathematics Colloquium
- Mathematics Education Seminar
- Mathematical Finance Seminar
- Ph.D. Defense
- PDE and Differential Geometry Seminar
- S.I.G.M.A. Seminar
- UConn Logic Colloquium

## All Seminars

- 2/18
*PDE and Differential Geometry Seminar*

Title TBA

Speaker TBA. - 2/20
*Algebra Seminar*

Title TBA

Speaker TBA - 2/20
*Math Club*

Integrality of Binomial Coefficients

Emily Gunawan (UConn) - 2/21
*Mathematics Colloquium*

Nice Sets of Points on the Sphere (with hints of Number Theory and Graph Theory)

Stefan Steinerberger (Yale University) - 2/22
*S.I.G.M.A. Seminar*

"What is... An Elliptic Curve?" From Bitcoin to Self-Driving Vehicles

Emma Previato - 2/22
*Analysis and Probability Seminar*

Discrete Curvature: a brief overview

Prasad Tetali (Georgia Tech) - 2/22
*Analysis Learning Seminar*

Title: Asymptotically hyperbolic manifolds in General Relativity

Hyun Jang - 2/25
*PDE and Differential Geometry Seminar*

Title TBA

Speaker TBA. - 2/25
*Geometric Flow Seminar* - 2/27
*Algebra Seminar*

Title TBA

Speaker TBA

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PDE and Differential Geometry Seminar

Title TBA

Speaker TBA.

Monday, February 18th, 20192:30 PM - 3:30 PM

Storrs Campus

MONT 214

TBA

Contact Information: Wang, lihan.wang@uconn.edu
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Algebra Seminar

Title TBA

Speaker TBA

Wednesday, February 20th, 201911:15 AM - 12:05 PM

Storrs Campus

Monteith, 313

TBA

Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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Math Club

Integrality of Binomial Coefficients

Emily Gunawan (UConn)

Wednesday, February 20th, 20195:45 PM - 6:35 PM

Storrs Campus

Monteith 321

Binomial coefficients have been studied since the tenth century and appear in many places. They are integers, but from some of the ways of defining them this property is not evident! We will present various proofs of the integrality of the binomial coefficients using techniques such as a recursion, combinatorics, calculus, and group theory. Time permitting, we will discuss a generalization called a $$q$$-analogue, where the non-obvious property of being an integer is replaced by the non-obvious property of being a polynomial.

Contact Information: Keith Conrad (kconrad@math.uconn.edu)
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Mathematics Colloquium

Nice Sets of Points on the Sphere (with hints of Number Theory and Graph Theory)

Stefan Steinerberger (Yale University)

Thursday, February 21st, 20194:00 PM - 5:00 PM

Storrs Campus

MONT 214

Suppose someone asks you to distribute 4 points on the sphere in a nice and regular way. You would probably pick vertices of a tetrahedron. A cube for 8, a dodecahedron for 12 and an icosahedron for 20. But what if someone asks you to distribute 21 points? We are out of Platonic Bodies! I will discuss an old idea of Sobolev who proposed to put them in such a way that the average of polynomials in these points coincides with the average of polynomials on the sphere for as many polynomials as possible. This recovers the Platonic Bodies and suggests many questions. I will discuss some of them, make a quick detour into Analytic Number Theory and then tell you how to do it on Graphs. This allows us, for any Graph, to define "Platonic Bodies in the Graph". These are absolutely gorgeous, very beautiful sets that even have some surprising applications -- I promise you many nice pictures and many open problems!

Contact Information: Janna Lierl
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S.I.G.M.A. Seminar

"What is... An Elliptic Curve?" From Bitcoin to Self-Driving Vehicles

Emma Previato

Emma Previato"
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Friday, February 22nd, 201912:20 PM - 1:10 PM

Storrs Campus

MONT 214

From the title article by Ã. Lozano-Robledo and H.B. Daniels(AMS Notices, 2017) to the current "The Ubiquity of Elliptic Curves" by E.H. Goins (AMS Notices, 2019), what is the reason for 'The unreasonable effectiveness of elliptic curves'? This talk will illustrate the role of elliptic curves, and more generally Algebraic Geometry, in Mathematical Physics, Information Theory and Cryptography, and Machine Learning, presenting some of the speaker's results and open questions for future research.

Contact Information: Lisa Naples
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Analysis and Probability Seminar

Discrete Curvature: a brief overview

Prasad Tetali (Georgia Tech)

Friday, February 22nd, 20191:30 PM - 2:30 PM

Storrs Campus

MONT 313

Abstract: Inspired by the recent developments in differential geometry and calculus of variations, there have been several approaches to identifying a suitable notion of local (Ricci) curvature on non-smooth spaces, such as graphs and Markov chains. I will describe some of these approaches and review a few recent developments in this topic on discrete curvature. Some of the consequences include a tight Cheeger inequality in abelian Cayley graphs, and diameter bounds on the spectral gap of the graph Laplacian. Several open questions remain.

Contact Information: Scott Zimmerman, scott.zimmerman@uconn.edu
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Analysis Learning Seminar

Title: Asymptotically hyperbolic manifolds in General Relativity

Hyun Jang

Friday, February 22nd, 20193:30 PM - 4:30 PM

Storrs Campus

MONT 313

Abstract: The notion of asymptotically hyperbolic manifolds arises largely from two different contexts: as a compactifiable manifold by conformal deformation (like the PoincarÃ¨ ball), or as an initial data set in general relativity (like a hyperboloid in the Minkowski space). This talk will mainly focus on the latter case. Beginning with the Einstein Field Equations, I am going to introduce an initial data set, Einstein constraint equations, and how the concept of asymptotically hyperbolic manifolds arises naturally. From there, I will talk about the positive mass theorem for asymptotically hyperbolic manifolds, and relevant result of the joint work with Huang and Martin, which concerns about the rigidity property of the mass.

I will also briefly mention the context of conformally compactifiable manifolds and some interesting results.

I will also briefly mention the context of conformally compactifiable manifolds and some interesting results.

Contact Information: Murat Akman (murat.akman@uconn.edu) and Vyron Vellis (vyron.vellis@uconn.edu)
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PDE and Differential Geometry Seminar

Title TBA

Speaker TBA.

Monday, February 25th, 20192:30 PM - 3:30 PM

Storrs Campus

MONT 214

TBA

Contact Information: Wang, lihan.wang@uconn.edu
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### Geometric Flow Seminar

Monday, February 25th, 20194:00 PM - 5:00 PM

Storrs Campus

MONT214

Learning seminar in geometric flow

Contact Information: Lihan Wang, lihan.wang@uconn.edu
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Algebra Seminar

Title TBA

Speaker TBA

Wednesday, February 27th, 201911:15 AM - 12:05 PM

Storrs Campus

Monteith, 313

TBA

Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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