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X-WR-CALNAME:Mathematics
X-ORIGINAL-URL:https://math.ua.edu
X-WR-CALDESC:Events for Mathematics
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TZID:America/Chicago
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TZOFFSETFROM:-0600
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DTSTART:20200308T080000
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DTSTART:20201101T070000
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BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20200114T110000
DTEND;TZID=America/Chicago:20200114T120000
DTSTAMP:20200128T035707
CREATED:20200107T151459Z
LAST-MODIFIED:20200107T151822Z
UID:4535-1578999600-1579003200@math.ua.edu
SUMMARY:Colloquium - Guowei Wei\, Michigan State University
DESCRIPTION:Title: Mathematical AI for drug discovery \nAbstract: Artificial intelligence (AI) has fundamentally changed the landscape of science\, technology\, industry\, and social media in the past few years. It holds a great future for discovering new drugs significantly faster and cheaper. However\, AI-based drug discovery encounters obstacles arising from the structural complexity of protein-drug interactions and the high dimensionality of drug candidates’ chemical space. We tackle these challenges mathematically. Our work focuses on reducing the complexity and dimensionality of protein-drug complexes. We have introduced differential geometry\, algebraic topology\, and graph theory to obtain high-level abstractions of protein-drug interactions and thus significantly enhance AI’s ability to handle excessively large datasets of complex biomolecules in drug discovery. Our mathematical AI approach has made us a top competitor in D3R Grand Challenges\, a worldwide annual competition series in computer-aided drug design and discovery in the past three years. \n
URL:https://math.ua.edu/event/colloquium-guowei-wei-michigan-state-university/
LOCATION:346 Gordon Palmer Hall
CATEGORIES:Colloquium,Math Department
ORGANIZER;CN="Shan%20Zhao":MAILTO:szhao@ua.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20200117T110000
DTEND;TZID=America/Chicago:20200117T120000
DTSTAMP:20200128T035707
CREATED:20200113T192820Z
LAST-MODIFIED:20200113T192915Z
UID:4540-1579258800-1579262400@math.ua.edu
SUMMARY:Applied Math Seminar - Hongsong Feng\, University of Alabama
DESCRIPTION:Title: Augmented matched interface and boundary(AMIB) method for elliptic interface problem and a high order fast Poisson solver \nAbstract: The elliptic interface problem plays an important role in fields such as electromagnetics\, bimolecular electrostatics\, and material science. This talk introduces augmented matched interface and boundary method that is applied to obtain second order fast solution for two-dimensional elliptic interface problem with piecewise constant coefficients. By employing auxiliary variables in a Schur complement procedure\, the discrete Laplacian of the central difference can be efficiently inverted by fast Fourier transform(FFT). The total computational cost of the AMIB is about O(n^2log(n)) for the Cartesian grid with dimension n by n in 2D. This method significantly saves computational time\, while second order accuracy is obtained in dealing with complicated interface. The same augmented approach is also deployed to construct a systematic high order fast Poisson solver on a rectangular domain\, which can handle various boundary conditions\, and achieve computational complexity of O(n^3log(n)) for 3D Poisson problem. \n \n
URL:https://math.ua.edu/event/applied-math-seminar-hongsong-feng-university-of-alabama/
LOCATION:346 Gordon Palmer Hall
CATEGORIES:Applied Math Seminar,Math Department
ORGANIZER;CN="Shibin%20Dai":MAILTO:sdai4@ua.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20200122T163000
DTEND;TZID=America/Chicago:20200122T173000
DTSTAMP:20200128T035707
CREATED:20200121T140239Z
LAST-MODIFIED:20200121T141118Z
UID:4563-1579710600-1579714200@math.ua.edu
SUMMARY:AWM General Body Meeting
DESCRIPTION: \n \n
URL:https://math.ua.edu/event/awm-jan-22-2020/
LOCATION:234 Gordon Palmer Hall\, AL\, United States
CATEGORIES:Association of Women in Mathematics,Math Department
ORGANIZER;CN="Awa%20Traore":MAILTO:atraore@crimson.ua.edu
GEO:32.3182314;-86.902298
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20200124T110000
DTEND;TZID=America/Chicago:20200124T120000
DTSTAMP:20200128T035707
CREATED:20200113T193357Z
LAST-MODIFIED:20200121T165954Z
UID:4542-1579863600-1579867200@math.ua.edu
SUMMARY:Colloquium - Joris Roos\, University of Wisconsin-Madison
DESCRIPTION:Topic: Maximal spherical averages and fractal dimensions \nAbstract: Maximal spherical averages are a classical topic in real harmonic analysis arising from the study of differentiability properties of functions\, going back to works of Stein and Bourgain. \nIn this talk we’ll consider maximal averages over spheres\, where the radii are taken from a given fractal set. As is typical for averaging operators\, these operators improve local integrability of input functions. We would like to know by exactly how much and how this depends on the set of radii. More precisely\, we are interested in optimal $L^p$ improving properties\, i.e. the sharp range of $(1/p\, 1/q)$ such that $L^p\to L^q$ boundedness holds. It turns out that this range depends on various fractal dimensions of the set of radii\, such as Minkowski and Assouad dimensions and the Assouad spectrum. One of our main results is a complete characterization of convex sets that arise as sharp $L^p$ improving region of such a spherical maximal operator\, up to endpoints. A surprising feature is that these regions may be non-polygonal. \nAn application of the $L^p$ improving properties are sparse and weighted $L^p$ estimates for an associated global spherical maximal operator extending recent results of Lacey. \nBased on joint works with A. Seeger and with T. Anderson\, K. Hughes\, A. Seeger. \n
URL:https://math.ua.edu/event/colloquium-joris-roos-university-of-wisconsin-madison/
LOCATION:346 Gordon Palmer Hall
CATEGORIES:Colloquium,Math Department
ORGANIZER;CN="David%20Cruz-Uribe":MAILTO:dcruzuribe@ua.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20200127T110000
DTEND;TZID=America/Chicago:20200127T120000
DTSTAMP:20200128T035707
CREATED:20200113T193527Z
LAST-MODIFIED:20200122T163125Z
UID:4545-1580122800-1580126400@math.ua.edu
SUMMARY:Colloquium - Joseph Feneuil\, Temple University
DESCRIPTION:Topic: The harmonic measure on low dimensional sets \nAbstract: Given a bounded domain $\Omega \subset \R^n$\, the harmonic measure with pole in $X$ is a probability measure on the boundary $\partial \Omega$ that satisfies the following property. If $E \sunset \partial \Omega$\, then $\omega^X(E)$ is the probability that a particle issued from X and subject to Brownian motion leaves the domain $\Omega$ through $E$. The harmonic measure is strongly related to elliptic PDE\, indeed the function on $\Omega$ defined as $u_E(X) = \omega^X(E)$ is the solution to $\Delta u_E = 0$ in $\Omega$\, $u_E = 1$ on $E$\, $u_E = 0$ on $\partial \Omega \setminus E$. For decades\, people tried to figure out what is the geometrical condition on $\partial \Omega$ so that the harmonic measure $\omega^X$ behave like the surface measure – more precisely when the harmonic measure and the surface measure on $\partial \Omega$ are mutually absolutely continuous; and it was ultimately found that under some conditions of topology\, the harmonic measure and the surface measure are absolutely continuous with each other (in a quantitative way) if and only if $\partial \Omega$ is uniformly rectifiable (i.e. rectifiable in a quantitative way). \nThe above criterion is a nice characterization of rectifiable sets using the harmonic measure. However\, the harmonic measure is defined only on sets of dimension $n-1$ (a boundary of a domain)\, which stops {\em a priori} the criterion to be extended to rectifiable sets with lower dimensions (like for instance a line in $\mathbb R^3$). Together with Guy David and Svitlana Mayboroda\, we constructed an analogue of the harmonic measure for sets with low dimensions. In this talk\, I will explain why the classical harmonic measure cannot be used for lower dimensional sets\, I will present our analogue and why we believe it is the right substitute. In particular\, we proved that if $E \sunset \mathbb R^n$ is a $d$-dimensional rectifiable set with $d < n-1$\, then the harmonic measure that we built is absolutely continuous with respect to the $d$-dimensional Hausdorff measure. \n
URL:https://math.ua.edu/event/colloquium-joseph-feneuil-temple-university/
LOCATION:346 Gordon Palmer Hall
CATEGORIES:Colloquium,Math Department
ORGANIZER;CN="David%20Cruz-Uribe":MAILTO:dcruzuribe@ua.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20200129T110000
DTEND;TZID=America/Chicago:20200129T120000
DTSTAMP:20200128T035707
CREATED:20200113T193642Z
LAST-MODIFIED:20200122T163536Z
UID:4548-1580295600-1580299200@math.ua.edu
SUMMARY:Colloquium - Simon Bortz\, University of Washington
DESCRIPTION:Topic: Harmonic Measure and Geometry \n\nAbstract: The harmonic measure for a domain provides an important link between the analytic properties of the domain and the geometry of the domain. This measure is canonically associated to a fundamental differential operator\, the Laplacian. It can also be viewed as the `hitting probability’ for Brownian (random) motion. Combining these viewpoints reveals the aforementioned link between analytic properties and geometry. Studying the relationship between the behavior of the harmonic measure and the geometry of a domain has been a pursuit of considerable mathematical interest. While the topic has been an active area of study for over a century\, characterizations along these lines have been furnished only recently. These breakthroughs can primarily be attributed to the amalgamation of ideas from harmonic analysis\, partial differential equations and geometric measure theory. \nOne way to describe the harmonic measure is to compare it to another (canonical) measure with the goal of sensing the geometry of the domain through a particular relationship. This talk will concern two of my collaborations in this area. We will compare the harmonic measure to the “natural surface measure” in quite extreme generality (joint work with Akman\, Hofmann and Martell). Then we will compare the harmonic measure of a domain to the harmonic measure of its “exterior domain” (joint work with Engelstein\, Goering\, Toro and Zhao). This second work provides a characterization of boundary flatness from a specific relationship between these two harmonic measures. \n
URL:https://math.ua.edu/event/colloquium-simon-bortz-university-of-washington/
LOCATION:346 Gordon Palmer Hall
CATEGORIES:Colloquium,Math Department
ORGANIZER;CN="David%20Cruz-Uribe":MAILTO:dcruzuribe@ua.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20200131T110000
DTEND;TZID=America/Chicago:20200131T120000
DTSTAMP:20200128T035707
CREATED:20200113T194028Z
LAST-MODIFIED:20200122T180511Z
UID:4551-1580468400-1580472000@math.ua.edu
SUMMARY:Colloquium - Polona Durcik\, California Institute of Technology
DESCRIPTION:Topic: On some singular Brascamp-Lieb inequalities \nAbstract: Brascamp-Lieb inequalities are L^p estimates for certain multilinear integral forms on functions on Euclidean spaces. They generalize several classical inequalities\, such as Hoelder’s inequality or Young’s convolution inequality. Brascamp-Lieb inequalities have been studied extensively in recent years. In this talk we focus on singular Brascamp-Lieb inequalities\, which arise when one of the functions in a Brascamp-Lieb integral is replaced by a singular integral kernel. Singular Brascamp-Lieb integrals are much less understood than their non-singular variants. We give an overview of some results and open problems\, and discuss applications to certain questions in Euclidean Ramsey theory. \n
URL:https://math.ua.edu/event/colloquium-polona-durcik-california-institute-of-technology/
LOCATION:346 Gordon Palmer Hall
CATEGORIES:Colloquium,Math Department
ORGANIZER;CN="David%20Cruz-Uribe":MAILTO:dcruzuribe@ua.edu
END:VEVENT
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