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SUMMARY:Luna Lomonaco (Institute of Pure and Applied Mathematics)
DTSTART:20231031T130000Z
DTEND:20231031T140000Z
DTSTAMP:20260422T201810Z
UID:CAvid/110
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/110/">
 Mating quadratic maps with the modular group</a>\nby Luna Lomonaco (Instit
 ute of Pure and Applied Mathematics) as part of CAvid: Complex Analysis vi
 deo seminar\n\nLecture held in N/A.\n\nAbstract\nHolomorphic correspondenc
 es are multi-valued maps defined by polynomial relations $P(z\,w)=0$. We c
 onsider a specific 1-(complex)parameter family of (2:2) correspondences (e
 very point has 2 images and 2 preimages)\nwhich encodes both the dynamics 
 of a quadratic rational map and the dynamics of the modular group. We show
  that the connectedness locus for this family is homeomorphic to the parab
 olic Mandelbrot set\, itself homeomorphic to the Mandelbrot set. Joint wor
 k with S. Bullett.\n
LOCATION:https://researchseminars.org/talk/CAvid/110/
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