Spectral Asymptotics of Pseudodifferential Operators with Application to Noncommutative Geometry

Explore the mathematical foundations of spectral asymptotics for pseudodifferential operators and their applications in noncommutative geometry through this 57-minute conference talk presented at ICBS2025 by BIMSA. Delve into advanced mathematical concepts that bridge operator theory and geometric analysis, examining how spectral properties of pseudodifferential operators behave asymptotically and their significance in the context of noncommutative geometric structures. Gain insights into cutting-edge research that connects functional analysis with modern geometric theories, providing a deep understanding of how these mathematical tools contribute to our comprehension of noncommutative spaces and their spectral characteristics.