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UID:www.tcs.tifr.res.in/event/1005
DTSTAMP:20230914T125946Z
SUMMARY:Project Presentation: Two Problems Related to Small-set Expansion a
 nd Reed-Muller Codes.
DESCRIPTION:Speaker: Arghya Chakraborty\n\nAbstract: \nAbstract: This talk 
 will comprise of two parts. In the first half\, I shall discuss about Reed
 -Muller Codes and Reed-Solomon Codes. Basically\, we shall prove that Reed
 -Muller Codes are a subset of Reed-Solomon Codes. The next half will be a 
 discussion on small set expansion\, norm bounds and hypercontractivity. Sm
 all set expansion is a notion weaker than expansion requirining just the s
 mall sets to be expanding. Hypercontractivity is a property of and operato
 r and here we shall mostly be looking at hypercontractivity of the adjacen
 cy matrix but only corresponding to the top eigenspace. Norm bounds are pr
 operties of a vector space and here we shall consider norm bounds on the t
 op eigenspace of the adjacency matrix. We shall look at which of the three
  are equivalent notions and which are not.\n
URL:https://www.tcs.tifr.res.in/web/events/1005
DTSTART;TZID=Asia/Kolkata:20191011T181500
DTEND;TZID=Asia/Kolkata:20191011T191500
LOCATION:A-201 (STCS Seminar Room)
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