IISER Pune
INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (IISER) PUNE
where tomorrow’s science begins today
An Autonomous Institution, Ministry of Human Resource Development, Govt. of India
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Seminars and Colloquia

Mathematics

The Chinese Reminder Theorem for Partitions 
 
Thu, Jun 29, 2017,   03:00 PM to 04:00 PM at Madhava Hall

Ojaswi Chaurasia and Seethalakshmi K
NIT Rourkela and IISER Pune

Given a positive integer n and a partition lambda, there is a notion of a `remainder of lambda upon division by n', called the n-core of lambda.
We have proven an analogue of the Chinese Remainder Theorem:  Given m,n with d=gcd(m,n), an m-core mu and an n-core nu, there is a partition whose m-core is mu and whose n-core is nu iff the d-cores of mu and nu coincide.  In this talk we introduce the topic, sketch our proof, and discuss the set of solutions.  This is joint work with Ragini Balachander.

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