Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Explore the fundamental concepts and advanced techniques of modern algebraic geometry through this comprehensive graduate-level course offered by the Fields Institute as part of their Shared Graduate Courses Program. Delve into the sophisticated mathematical framework that studies geometric objects defined by polynomial equations, examining how abstract algebraic structures relate to geometric properties. Master essential topics including schemes, sheaves, cohomology theory, and morphisms while developing proficiency in the language and tools that form the foundation of contemporary algebraic geometry. Investigate the connections between commutative algebra and geometric intuition, learning how to translate between algebraic and geometric perspectives. Build expertise in working with varieties, understanding their local and global properties, and applying modern techniques to solve classical problems. Gain exposure to current research directions and applications of algebraic geometry in other areas of mathematics and theoretical physics. Develop the mathematical maturity needed to read and contribute to research literature in this active field through 36 structured lectures that progressively build from foundational concepts to advanced topics.
