Workshop on
Metric Aspects
in Complex Analysis and Operator Theory
Important Dates
About IIT Madras
India's premier technical university and the workshop's host institution — a campus where academic excellence meets a 250-hectare forested landscape.
#1 Overall NIRF
7 consecutive years (2019–2025)
#1 NIRF Engineering
10 consecutive years (2016–2025)
#180 QS World Ranking
QS World University Rankings 2026
Institute of Eminence
Recognised by the Government of India
Established in 1959, IIT Madras is a self-contained residential campus nestled within 250 hectares of wooded land in Chennai, Tamil Nadu. Home to over 10,000 students and 600 faculty, it is consistently ranked India's top institution across engineering, research, and innovation.
The Department of Mathematics at IIT Madras maintains active research groups in Analysis, Geometry, Topology, and related areas, making it a natural home for a workshop at the intersection of Complex Analysis and Operator Theory.
Visit iitm.ac.inA workshop focused on the interaction of Metric Geometry with (Complex) Analysis and Operator Theory.
This 4-day workshop gathers PhD scholars, postdocs, and early-career faculty for an intensive encounter with world-leading researchers. The scientific focus is the emerging role of Metric Geometry as a unifying framework across Geometric Function Theory and Curvature of Minimal Graphs.
Participants will be exposed to ideas, methods, and techniques of relatively recent origin, but that have proven to be very effective. Topics to be covered include (1) Invariant distances and metrics in Complex Analysis; (2) Cowen-Douglas class of operators; (3) Geometric function theory, with a focus on curvature; and (4) Metric-geometric concepts and tools in non-smooth spaces. These topics will be expounded by renowned experts in the relevant fields.
The workshop immediately precedes CMFT 2026, allowing participants to attend both events and maximise their engagement with the global research community.
Direct interaction with internationally recognised invited speakers
Exposure to cutting-edge techniques across Complex Analysis and Operator Theory
Scientific networking for PhD scholars, postdocs, and early-career researchers
Cross-pollination of ideas through the unifying lens of Metric Geometry
Core themes of the programme
Geometric Function Theory
Harmonic and Quasi-conformal Mappings, Schwarz-type lemmas and curvature of minimal graphs
Metric geometry
Functions of bounded variation and sets of finite perimeter in non-smooth spaces
Operator Theory
Positivity and reproducing kernels
Cowen-Douglas Theory
Interaction with complex geometry and Curvature inequalities