Announcements
UConn Fall 2020 Information
Mathematics Continued: A Research Conference for Undergraduates
2020 Connecticut Summer School in Number Theory
News & Achievements
Welcome new faculty and students!
Welcome back! Even as we prepare for a very unusual new semester, we are very excited to be joined by a large number of newcomers this fall, and to welcome them to our Department! Regular Faculty Robert Dolan, Assistant Professor in Residence Amineh Farzannia, Assistant Professor in Residence Sijing Liu, Assistant Professor in Residence Hanson […]
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Upcoming Events

Sep
23
Algebra Seminar
Combinatorics Of Cluster Algebras
Veronique BazierMatte11:15amAlgebra Seminar
Combinatorics Of Cluster Algebras
Veronique BazierMatteWednesday, September 23rd, 2020
11:15 AM  12:05 PM
Storrs Campus
WebExThe first part of this talk will briefly introduce cluster algebras. Cluster algebras are Laurent polynomial algebras whose generators are obtained by a recursive process called mutation. We start with a seed (a pair formed with a set a n variables called a cluster) and with a quiver (a directed graph with n vertices). The mutation of a seed replaces one variable at a time and modifies the quiver, giving therefore a new seed. The cluster algebra is generated by all variables obtained by successive mutations, called cluster variables.
The exchange graph of a cluster algebra allows to visualize relations between its clusters. In this graph, vertices correspond to cluster of the cluster algebras and edges correspond to mutations: two vertices are joined by an edge if the associated clusters are obtained one from the other by a mutation. An intuitive way to construct the exchange graph of a cluster algebra is to compute one at a time every mutation. In the second part of this talk, we will show a way to realize the exchange graph of a cluster algebra with a finite number of cluster variables in $$\mathbb R^n$$ where n represents the number of vertices in the quiver. We compute this realization directly rather than recursively.
Finally, in the last part of this talk, we prove the unistructurality of certain type of algebras. A cluster algebra is unistructural if the set of its cluster variables determine uniquely its cluster. In other words, a cluster algebra is unistructural if another cluster algebra with exactly the same cluster variables must have also the same clusters.
Contact the organizer for the WebEx link.Contact Information: mihai.fulger@uconn.edu
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Sep
23
Math Club
Richard Guy's Strong Law Of Small Numbers And How Not To Make Friends
Hanson Smith (UConn)5:45pmMath Club
Richard Guy's Strong Law Of Small Numbers And How Not To Make Friends
Hanson Smith (UConn)Wednesday, September 23rd, 2020
05:45 PM  06:35 PM
Storrs Campus
OnlineIn this talk we will work through a number of examples from Richard Guy's wonderful paper "The Strong Law of Small Numbers." The main theorem is "you can't tell by looking". Following Guy, we will prove this by intimidation. Audience participation, questioning, and guessing is highly encouraged. We'll conclude the talk with an exciting application to web comics.
Note: Join the meeting at https://uconnvtc.webex.com/meet/mathclubContact Information: Keith Conrad
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Sep
24
Probabillity And Data Science Colloquium2:00pm
Probabillity And Data Science Colloquium
Thursday, September 24th, 2020
02:00 PM  03:00 PM
Storrs Campus
OnlineWeekly colloquium with invited external speakersContact Information: Zhongyang Li
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Sep
24
Mathematics Colloquium
Universes As Big Data: Superstrings, CalabiYau Manifolds And MachineLearning
YangHui He (Oxford)3:30pmMathematics Colloquium
Universes As Big Data: Superstrings, CalabiYau Manifolds And MachineLearning
YangHui He (Oxford)Thursday, September 24th, 2020
03:30 PM  04:30 PM
Storrs Campus
OnlineWe review how historically the problem of string phenomenology lead theoretical physics first to algebraic/diffenretial geometry, and then to computational geometry, and now to data science and AI.
With the concrete playground of the CalabiYau landscape, accumulated by the collaboration of physicists, mathematicians and computer scientists over the last 4 decades, we show how the latest techniques in machinelearning can help explore problems of physical and mathematical interest, from geometry, to group theory, to combinatorics and number theory.Contact Information: KyuHwan Lee
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Sep
25
Logic Supergroup: Stewart Shapiro & David McCarty11:00am
Logic Supergroup: Stewart Shapiro & David McCarty
Friday, September 25th, 2020
11:00 AM  01:00 PM
Other
onlineLogic Supergroup talk by Stewart Shapiro (OSU/UConn) & David McCarty (Indiana)
Intuitionistic Sets and Numbers: the theory SST
SST is a small intuitionistic set theory governing the hereditarily finite sets. It is based upon set induction. Simple as SST is, it seems remarkably strong: it deduceswithin intuitionistic formal logicall the axioms of ZF + AC, less the Axiom of Infinity, except that Separation is limited to decidable predicates. It is relatively straightforward to prove that SST has the usual Goedelian incompleteness properties. SST is definitionally equivalent to full, firstorder intuitionistic arithmetic, aka Heyting Arithmetic. And SST manifests the attractive metamathematical properties of many intuitionistic mathematical theoriesit supports a number of different realizability and topological interpretations and can be assumed to be categorical.
https://sites.google.com/view/logicsupergroup/thelogicsupergroup
Please contact Marcus Rossberg for login information.Contact Information: marcus.rossberg@uconn.edu
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