演講公告

演講主題：An algebraic proof of Thurston transversality for bicritical polynomials
主講人：彭俊文博士 (國家理論科學研究中心)
演講日期：2022年3月8日(二) 14:00 –15:00
演講地點：(光復校區) 科學一館223室
摘要內容：
Abstract. Thurston transversality is a celebrated result of holomorphic dynamics. Roughly speaking, Thurston showed that curves given by dynamical conditions intersect transversally. Let me give an easy example to illuminate the idea. The critical point of the polynomial $f_c(x)=x^2+c$ is 0. And, we may wonder how many solutions $c\in\mathbb{C}$ we have if 0 has a period, say 3. This question is precisely equivalent to solving the equation $f^3_c(0)=0$ where $f^3_c$ is the third iterate of $f_c$. Thurston transversality then says there must be 4 distinct solutions because $f^3(0)$ is a degree 4 polynomial in terms of $c$. In this talk, we will give an algebraic proof of Thurston transversality in the periodic case for bicritical polynomials. This is also the first algebraic proof for bad reduction.
相關檔案：Talk_1110308.pdf

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