ONE PER CENT
					Mathematics workshop for students of classes XI and XII
						    Friday 29th November 2013
						    	IMSc, Chennai

						    	TIMETABLE

			900 am Registration

			930am--1030am	Vijay Kodiyalam

				Title: Rotations and quaternions
				Abstract: We will discuss rotations in 3-dimensional space and their
				connection to the number system of quaternions which is a pleasant
				interplay of analytical geometry, trigonometry and algebra.
			
			1030am--1100am	Tea break (coffee/tea, snacks)
			
			1100am--noon	Shailesh Shirali

				Title: Snapshots from transformation geometry
				Abstract: The talk is about transformations in geometry. In 1872 the
				German mathematician Felix Klein proposed (in what is now a famous lecture)
				that geometry can be studied more systematically by categorizing
				the transformations it uses; more specifically, by studying
				the properties that stay invariant under particular groups of transformations.
				We will not be talking about Klein's programme as such but we will show how
				transformations can be an effective and elegant problem-solving approach
				in solving problems in geometry. We will also briefly look at frieze patterns
				and see how they fit into this framework.

			noon--100pm	R Ramanujam

				Title: Investigating, combinatorially
				Abstract: Many students find projects and open ended investigations natural
				and feasible in the sciences but not in mathematics. We suggest that such
				projects are indeed possible and illustrate the idea with some examples
				from elementary combinatorics.

			100pm--215pm	Lunch

			215pm--315pm	S Viswanath

				Title: Partitions
				Abstract: A partition is a way of writing a given number as a sum of
				smaller numbers. For instance the number 4 can be partitioned in five ways
				as 4, 3+1, 2+2, 2+1+1, 1+1+1+1.  The theory of partitions spans 300 years,
				from the works of Euler in the eighteenth century, Ramanujan in the early
				1900s, all the way to very recent breakthroughs by the mathematicians
				Bruinier and Ono in 2011. In this lecture, we will study some elementary
				properties of partitions, and see how to count partitions of various kinds.

			315pm--400pm	Quiz

			400pm--430pm	High tea

			430pm--500pm	Remarks by R Balasubramanian (Director, IMSc)
					and Rajeeva Karandikar (Director, CMI);  distribution of prizes