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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ALGEBRAIC DYNAMICS
November 4, 2021 4:00 pmI will speak about recent joint work with Bell, Diller, and Jonsson in which we refute a conjecture of Bellon-Viallet by constructing (mostly) explicit examples of birational maps of projective...
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ALGEBRAIC DYNAMICS
October 21, 2021 4:00 pmAbout 10 years ago, Xinyi Yuan and Shouwu Zhang proved that if two holomorphic maps f and g on P^N have the same sets of preperiodic points (or if the...
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ALGEBRAIC DYNAMICS
October 14, 2021 4:00 pmInspired by a result of Esnault and Srinivas on automorphisms of surfaces and recent advances in complex dynamics, Truong raised a question on the comparison of two dynamical degrees, which...
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ALGEBRAIC DYNAMICS
September 23, 2021 4:00 pmGiven a rational map defined over a number field, the Galois orbits of points with canonical height tending to zero will equidistribute to a measure supported on the Julia set....
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ALGEBRAIC DYNAMICS
September 9, 2021 4:00 pmMotivated by the Manin-Mumford and the Bogomolov conjecture for abelian varieties, Zhang conjectured that an analogous statement holds in a more general dynamical setting. In this talk we discuss various...
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ALGEBRAIC DYNAMICS
August 26, 2021 3:00 pmThe pentagram map was introduced by Schwartz as a dynamical system on polygons in the real projective plane. The map sends a polygon to the shape formed by intersecting certain...
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ALGEBRAIC DYNAMICS
April 9, 2021 10:00 amCanonical heights are a standard tool of arithmetic dynamics over global fields. When studying families of dynamical systems, or systems over larger fields, however, there are significant geometric obstacles to...
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ALGEBRAIC DYNAMICS
March 19, 2021 10:00 amLet K be a complete and algebraically closed field, such as C or the p-adic field C_p, and let f\in K(z) be a rational function of degree d\geq 2. The...
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ALGEBRAIC DYNAMICS
March 5, 2021 10:00 amIn the moduli space of one variable complex cubic polynomials with a marked critical point, given any $p \ge 1$, we prove that the loci formed by polynomials with the...
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