ALGEBRAIC DYNAMICS, SEMINARS
November 3, 2022 4:00 pmThe pentagram map was introduced by Schwartz as a dynamical system on convex polygons in the real projective plane. The map sends a polygon to the shape formed by intersecting...
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ALGEBRAIC DYNAMICS, SEMINARS
October 27, 2022 4:00 pmThurston proved that a post-critically finite branched cover of the plane is either equivalent to a polynomial (that is: conjugate via a mapping class) or it has a topological obstruction. ...
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ALGEBRAIC DYNAMICS, SEMINARS
October 13, 2022 4:00 pm I will discuss joint work with V. Alexeev which builds a correspondence between degenerations of polarized K3 surfaces and integral-affine structures on the 2-sphere containing a weighted balanced graph. Under...
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ALGEBRAIC DYNAMICS, SEMINARS
September 22, 2022 4:00 pmUnderstanding the geometry of The Mandelbrot set, which records dynamical information about every quadratic polynomial, has been a central task in holomorphic dynamics over the past forty years. Near parabolic...
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ALGEBRAIC DYNAMICS, SEMINARS
September 15, 2022 4:00 pmThis will be more of a mini-course than a traditional seminar. I will provide details about the (core) entropy algorithms for quadratic polynomials from my work with Tiozzo and Wu....
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ALGEBRAIC DYNAMICS, SEMINARS
April 14, 2022 4:00 pmLet X be a projective variety and let f be a dominant endomorphism of f, both of which are defined over a number field K. We consider the question of...
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ALGEBRAIC DYNAMICS, SEMINARS
April 7, 2022 10:00 amBerkovich spaces over Z may be seen as fibrations containing complex analytic spaces as well as p-adic analytic spaces, for every prime number p. We will give an introduction to...
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ALGEBRAIC DYNAMICS, SEMINARS
March 31, 2022 4:00 pmI will first explain the significance of Thurston's pushforward operator for studying postcritically finite rational maps. I will then present some results due to Buff-Epstein-Koch which relate the eigenvalues of...
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ALGEBRAIC DYNAMICS, SEMINARS
February 10, 2022 4:00 pmHow many rational preperiodic points can a degree d polynomial in Q[x] have? Conjecturally, there is some uniform bound B_d(Q) on the number of such preperiodic points -- but how...
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ALGEBRAIC DYNAMICS, SEMINARS
January 27, 2022 4:00 pmThe core entropy of a postcritically finite quadratic polynomial is the topological entropy of its restriction to its Hubbard tree. Core entropy is also the logarithm of the largest eigenvalue...
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