SEMINARS, OPEN NEIGHBORHOOD
September 28, 2022 4:30 pmMoments of a function give concrete information about the shape of the associated graph and have been thoroughly studied in a wide variety of fields. In this talk, we will...
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OPEN NEIGHBORHOOD
September 14, 2022 4:30 pmA natural speculation is that incompleteness is simply a by-product of infinity. Perhaps one can avoid incompleteness by simply restricting our mathematical scope to the finite. Do we lose anything...
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SEMINARS, OPEN NEIGHBORHOOD
April 20, 2022 4:30 pmIt has been proved that there is no general algorithm for finding all the integer solutions to a multivariable polynomial equation. Nevertheless, there are some methods that succeed if the...
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SEMINARS, OPEN NEIGHBORHOOD
April 6, 2022 4:30 pmIn this talk I'll gently survey various roles mathematics (often, but not always, in the form of machine learning) plays in our information ecosystem. I'll discuss the math behind YouTube's...
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SEMINARS, OPEN NEIGHBORHOOD
March 23, 2022 4:30 pmThese are three concepts that examine how quantities vary: invariance and equivariance, from mathematics, and covariance, from statistics. How do they relate to each other? We will see how groups...
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SEMINARS, OPEN NEIGHBORHOOD
March 2, 2022 4:30 pmWe will explore the fascinating history of counting shapes, starting with counting dots (you can have no dots or one dot or two dots...) and then moving on to counting...
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SEMINARS, OPEN NEIGHBORHOOD
February 16, 2022 4:30 pmSuppose you write down a general polynomial in x, y, z and consider the surface of all points where it vanishes. What can you say about the family of lines...
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SEMINARS, OPEN NEIGHBORHOOD
February 2, 2022 4:30 pmOne way that mathematics grows is by finding new questions to study beyond the standard topics of serious mathematical research. We give three examples, ranging from the recreational (how many...
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OPEN NEIGHBORHOOD
November 17, 2021 4:30 pmIn several areas of mathematics, including probability theory, asymptotic functional analysis, statistics and data science, one is interested in high-dimensional objects, such as measures, data or convex bodies. One common...
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OPEN NEIGHBORHOOD
November 3, 2021 4:30 pmRecent technological developments now allow for the accurate, high resolution measurement of millions of human genomes. I will describe some of the challenges and opportunities of this postgenomic era, and...
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