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Related lectures (31)
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Proper Actions and Quotients
Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.
Lattices: Theory and Applications
Explores the theory of lattices, their properties, and applications in different mathematical contexts, emphasizing local-global principles.
Holomorphic Functions: Taylor Series Expansion
Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.
Unique Solutions in Differential Equations
Explores unique solutions in differential equations, emphasizing the importance of satisfying key conditions for a single solution.
Universal Covering
Explores the concept of a universal cover of a topological space and the necessary conditions for a space to have one.
Constructing Real Numbers: Decimal Expansion
Covers constructing real numbers through decimal expansion and the concept of discrete and continuous random variables.
Dynamical Approaches to Spectral Theory of Operators
Explores dynamical approaches to the spectral theory of operators, focusing on self-adjoint operators and Schrödinger operators with dynamically defined potentials.
Generation of Markov Processes
Covers the generation of Markov processes and Markov chains, including transition matrices and stochastic matrices.
Adjunctions and Push Outs
Covers adjunctions, push outs, colimits, and discrete fibers in coverings, emphasizing group actions and symmetries.