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PRODID:Mathematics Seminar Calendar
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UID:20191211T005257-19662@math.msu.edu
DTSTAMP:20191211T005257Z
SUMMARY:Some kind of introduction to special relativity
DESCRIPTION:Speaker\: Keshav Sutrave, MSU\r\n(Soft) The beginning of Einstein's theory of special relativity, which gives us a way of doing physics in different reference frames (observers in motion). Specifically: "What happens when you turn on a flashlight while already moving at half the speed of light?" I will introduce time dilation and length contraction, event simultaneity, and touch on the problem in electromagnetism, using many examples.
LOCATION:C304 Wells Hall
DTSTART:20190930T190000Z
DTEND:20190930T195000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=19662
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UID:20191211T005257-19653@math.msu.edu
DTSTAMP:20191211T005257Z
SUMMARY:Complexity, 3-Manifolds, and Zombies
DESCRIPTION:Speaker\: Joe Melby, MSU\r\nAn important invariant of a path-connected topological space X is the number of homomorphisms from the fundamental group of X to a finite, non-abelian, simple group G. Kuperberg and Samperton proved that, although these invariants can be powerful, they are often computationally intractable, particularly when X is an integral homology 3-sphere. More specifically, they prove that the problem of counting such homomorphisms is #P-complete via a reduction from a known #P-complete circuit satisfiability problem. Their model constructs X from a well-chosen Heegaard surface and a mapping class in its Torelli group. We will introduce the basics of complexity for counting problems, summarize the reduction used by K-S to bound the problem of counting homomorphisms, and discuss some of the topological and quantum computing implications of their results.
LOCATION:C304 Wells Hall
DTSTART:20191007T190000Z
DTEND:20191007T195000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=19653
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UID:20191211T005257-19654@math.msu.edu
DTSTAMP:20191211T005257Z
SUMMARY:An introduction to intersection forms: Taking K3 surface as an example
DESCRIPTION:Speaker\: Zhe Zhang, MSU\r\nI’ll define intersection product both on 4 manifolds and in the algebraic geometry setting, then introduce the blow up technique and give some easy examples. After that I will jump to K3 surface, give definition and constructions, and talk a little bit about the elliptic fibrations of K3. If I still have time, I will talk about the relation between intersection form and characteristic classes.
LOCATION:C304 Wells Hall
DTSTART:20191014T190000Z
DTEND:20191014T195000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=19654
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UID:20191211T005257-19655@math.msu.edu
DTSTAMP:20191211T005257Z
SUMMARY:The Ends of Hyperbolic Manifolds
DESCRIPTION:Speaker\: Brandon Bavier, MSU\r\nWhen studying knots, we can often get a lot of information by removing the knot from space, and looking at the knot complement. It's pretty natural to ask, then, what happens to the area close to the removed knot? We call these areas cusps, and, in the case of hyperbolic knots, the cusp alone can tell us quite a lot. In this talk, we will give an introduction to these cusps, including their uses in topology, as well as how to find invariants from them.
LOCATION:C304 Wells Hall
DTSTART:20191021T190000Z
DTEND:20191021T195000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=19655
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UID:20191211T005257-19656@math.msu.edu
DTSTAMP:20191211T005257Z
SUMMARY:Introduction to the Yang-Mills equation
DESCRIPTION:Speaker\: Arman Tavakoli, MSU\r\nThe Yang-Mills equation is a celebrated topic that is studied in differential geometry and particle physics. We will motivate the equation as a generalization of Maxwell's equations, define the relevant geometrical objects and discuss their properties.
LOCATION:C304 Wells Hall
DTSTART:20191028T190000Z
DTEND:20191028T195000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=19656
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UID:20191211T005257-19657@math.msu.edu
DTSTAMP:20191211T005257Z
SUMMARY:Introduction to Riemannian Holonomy
DESCRIPTION:Speaker\: Gorapada Bera, MSU\r\nThe holonomy group of a Riemannian manifold exhibits various geometric structures compatible with the metric. In 1955, M.Berger classified all possible Riemannian holonomy groups. Studying all these are more than one semester subject. So, in this talk after a brief introduction we overview very basics of these holonomy groups.
LOCATION:C304 Wells Hall
DTSTART:20191104T200000Z
DTEND:20191104T205000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=19657
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UID:20191211T005257-19658@math.msu.edu
DTSTAMP:20191211T005257Z
SUMMARY:Properties of Busemann function on manifolds with nonnegative sectional curvature outside of a compact set
DESCRIPTION:Speaker\: Wenchuan Tian, MSU\r\nBusemann functions are useful. Cheeger and Gromoll used them to prove the splitting theorem for manifolds with nonnegative ricci curvature that contains a line. Yau used them to prove that complete noncompact manifolds with nonnegative Ricci curvature have at least linear volume growth.\r\n\r\nIn a paper called "Positive Harmonic Functions on Complete Manifolds with Non-Negative Curvature Outside a Compact Set" Peter Li and Luen-Fai Tam also used Busemann function to show the existence of positive harmonic functions. I will talk about Li and Tam's proof of properties of Busemann function. The proof only uses Toponogov theorem and cosine law. The results of the proof is useful for the subsequent analysis part of the paper.
LOCATION:C304 Wells Hall
DTSTART:20191111T200000Z
DTEND:20191111T205000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=19658
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UID:20191211T005257-19659@math.msu.edu
DTSTAMP:20191211T005257Z
SUMMARY:Computations in Topological CoHochschild Homology
DESCRIPTION:Speaker\: Sarah Klanderman, MSU\r\nHochschild homology (HH) is a classical algebraic invariant of rings that can be extended topologically to be an invariant of ring spectra, called topological Hochschild homology (THH). There exists a dual theory for coalgebras called coHochschild homology (coHH), and in recent work Hess and Shipley defined an invariant of coalgebra spectra called topological coHochschild homology (coTHH). In this talk we will discuss coTHH calculations and the tools needed to do them.
LOCATION:C304 Wells Hall
DTSTART:20191118T200000Z
DTEND:20191118T205000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=19659
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UID:20191211T005257-19661@math.msu.edu
DTSTAMP:20191211T005257Z
SUMMARY:An Introduction to Link Invariants from Tangle Operators
DESCRIPTION:Speaker\: Sanjay Kumar, MSU\r\nIn the early 90’s, Reshetikhin and Turaev constructed topological invariants of 3-manifoolds and of framed links in 3-manifolds using quantum groups. In this talk, I will introduce their approach with specific examples and show how they relate to known link invariants such as the Jones polynomial.
LOCATION:C304 Wells Hall
DTSTART:20191202T200000Z
DTEND:20191202T205000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=19661
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