Events by date

Tuesday, July 21, 2020

Tuesday, July 21, 2020 — 10:00 to 10:00 AM EDT

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

"Recurrence in Algebraic Dynamics"

Let $\varphi:X\dashrightarrow X$ is a rational mapping of an algebraic variety $X$ defined over $\C$. The orbit of a point $x\in X$ is the sequence $\{x,\varphi(x),\varphi^2(x),\ldots\}$. Our basic question is: how often does this orbit intersect a given closed set $C$? Thus we are interested in the return set

\[ E := \{n\geq 0 : \varphi^n(x)\in C\}. \]

S M T W T F S
29
30
31
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
1
2
  1. 2021 (129)
    1. December (5)
    2. November (22)
    3. October (15)
    4. September (5)
    5. August (15)
    6. July (17)
    7. June (15)
    8. May (1)
    9. April (4)
    10. March (11)
    11. February (9)
    12. January (10)
  2. 2020 (103)
    1. December (10)
    2. November (12)
    3. October (4)
    4. September (3)
    5. August (1)
    6. July (5)
    7. June (1)
    8. May (3)
    9. March (16)
    10. February (26)
    11. January (22)
  3. 2019 (199)
  4. 2018 (212)
  5. 2017 (281)
  6. 2016 (335)
  7. 2015 (211)
  8. 2014 (235)
  9. 2013 (251)
  10. 2012 (135)