ESP Biography

Group theory is nothing but the study of symmetry. Groups are ubiquitous. A double-sided square flips along the diagonals and the vertical lines that bisects itself, rotates four-fold, to come back to its original position. Rotation composed with reflection gives reflection, reflection composed with rotation gives rotation. What about other compositions? What about the operations on a cube instead? On a rubiks cube? On an infinite lattice? What are the common traits they share? What is the theory that unifies these sets of operations? The most fundamental answer is group theory. This class does not intend to indoctrinate you with theorems; it is more like a discussion session. This class will hopefully be conducted outdoor, when we think while enjoying fresh air.