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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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