Description:I will give four lectures based on the following papers.Gao, M. and Ding. P. (2023+). Causal inference in network experiments: regression-based analysis and design-based properties.Lu, S. and Ding, P. (2023+). Flexible sensitivity analysis for causal inference in observational studies subject to unmeasured confounding.Lu, S., Jiang, Z. and Ding, P. (2023+) Principal Stratification w...
Abstract These lectures will explore connections between (generalized) q-Schur algebras and the quantized enveloping algebra Uq(g) associated with a simple Lie algebra g. These connections are facilitated by a certain completion of Lusztig’s modified form of Uq(g). Although the q-Schur algebras arose initially as quotients of Uq(g) it is possible to reverse history and use them as a tool to re...
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