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UID:www.tcs.tifr.res.in/event/1417
DTSTAMP:20240827T094728Z
SUMMARY:Colorful Extensions of Infinite (p\,q)-Theorems in Combinatorial Ge
ometry
DESCRIPTION:Speaker: Arijit Ghosh (Indian Statistical Institute)\n\nAbstrac
t: \nAn infinite sequence of sets is said to be a heterochromatic sequ
ence for an infinite collection of families of sets\, if there exists
a strictly increasing sequence of natural numbers such that for all
we have . In this talk\, we will prove that if for each is a family
of nicely shaped convex sets in such that each heterochromatic sequen
ce of contains sets that can be pierced by a single -flat ( -d
imensional affine space) then all but finitely many 's can be pierced by
finitely many -flats. This result generalizes the -Theorem proved by
Keller and Perles (SoCG'22) to the countably colorful setting. We have a
lso established the tightness of our results by proving several no-go the
orems.\nThis is a joint work with Sutanoya Chakraborty (PhD Student at ISI
\, Kolkata) and Soumi Nandi (PhD Student at ISI\, Kolkata).\nShort Bio:\nA
rijit Ghosh is currently an Associate Professor at ACM Unit\, Indian Stati
stical Institute\, Kolkata. He did his PhD in Computer Science from INRIA\
, France\, and was a Postdoc at Max Planck Insitute for Informatics\, Ger
many.\n \n
URL:https://www.tcs.tifr.res.in/web/events/1417
DTSTART;TZID=Asia/Kolkata:20240827T160000
DTEND;TZID=Asia/Kolkata:20240827T170000
LOCATION:A-201 (STCS Seminar Room)
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