Deformation theory

Deformation theory studies how mathematical objects, like shapes or structures, can change smoothly while retaining some of their essential characteristics. Imagine bending a piece of clay: it retains its basic form but can take on new shapes. In mathematics, this theory explores how different versions of an object (like a geometric shape or an equation) can emerge from small changes, helping researchers understand complex systems in areas like algebra, geometry, and even physics. It plays a significant role in understanding how various structures evolve and interact in different contexts.