#### Chandrasekhar Hall

#### Pingala's Meru Prastaara, Integer Partitions, and Young's Lattice

#### Amritanshu Prasad

##### IMSc

*Pingala introduced the Meru Prastaara (often called Pascal's triangle) in*

his study of prosody about 2300 years ago. Revisiting Pingala's original

ideas leads to a better understanding of binomial coefficients and

identities involving them. Integer Partitions are mathematical structures

that were first studied by Euler, and obsessed Ramanujan. An analogous

structure for the study of Integer Partitions is Young's lattice. This

structure leads to interesting research questions even today.

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