Antibodies are the standard biomolecule for marking molecular structures and delivering drugs due to their specific binding capabilities. However, they are expensive to produce and their relatively large size prevents […]
Events
Calendar of Events
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Let K be a field and S = K be the polynomial ring in n variables over K. For a graded S-module M with minimal free resolution the Castelnuovo-Mumford regularity […]
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Title: The BNS invariant of the fundamental group of a surface bundle over a surface. Abstract: We will discuss some new results on the Bieri-Neumann-Strebel invariant of these groups, showing […] |
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In general terms, a Tauberian theorem deals with the relationship between the properties of one transform of a measure with those of another transform. We will introduce the notion of […] |
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TOPIC: Superheroes vs. Supercomputers Superheroes like Wonder Woman, Black Panther, Superman, and Captain Marvel, just to name a few, all have "super" power and they save the world from "super"-villains. […] |
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Let S be a set of k > n points in n-dimensional Euclidean space. How many parallel hyperplanes are needed to cover it? In fact, it is easy to prove […]
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Title: Volumes and filling collections of multicurves Abstract: In this talk we will be concerned with links L in a Seifert-Fibered space N such that their projection to the base […] |
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In this talk, we'll discuss the problem of constructing meaningful distances between probability distributions given only finite samples from each distribution. We approach this through the use of data-adaptive and […] |
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Data coming from Monte Carlo experiments is often analyzed in the same way as data from more traditional sources. The unique nature of Monte Carlo data, where it is easy […] |
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Quandle coloring quivers categorify the quandle counting invariant. In this talk we enhance the quandle coloring quiver invariant with quandle modules, generalizing both the quiver invariant and the quandle module […] |
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What do swarm robotics and political redistricting have in common? One answer is Markov chains, which have recently been used in very different ways to address problems in both these […] |
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In this talk I will discuss a rather unique collection of tools and how they have been used to understand the spread of Influenza virus in the State of Montana. […] |
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It is well known that a real number is badly approximable if and only if the partial quotients in its continued fraction expansion are bounded. Motivated by a recent wonderful […] Gordian Knots According to the legend of Phrygian Gordium, Alexander the Great cut the ``Gordian Knot’’ and eventually went on to rule Asia thereby fulfilling an ancient prophecy. Where there are several descriptions of the precise nature of the Gordian Knot and Alexander’s action, an explicit mathematical treatment (the theory of thick knots) and the reasons […]
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Gordian Knots According to the legend of Phrygian Gordium, Alexander the Great cut the ``Gordian Knot’’ and eventually went on to rule Asia thereby fulfilling an ancient prophecy. Where there are […] |
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Knotting in living organisms is a feature that is visible to the careful observer of biological life. Since the 1970’s, with the increasing power of electron microscopes, scientists have been able […] |
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The talk will concentrate on open questions related to the optimal bounds for the discrepancy of an $N$-point set in the $d$-dimensional unit cube. The so-called star-discrepancy measures the difference between the actual and expected number of […] |
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Many problems, arising in discrete and metric geometry, signal processing, physics, etc, can be reformulated as questions of optimizing discrete or continuous measures. We shall review some of such conjectures, […] |
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