Lecture Summary: This lecture will discuss recent developments in the UN Climate Regime, focusing in particular on the mismatch between the increasing emphasis on temperature goals and target-setting under the Paris Agreement and its treatment of equity and fairness in delivering these goals and targets. Lavanya Rajamani is a Professor of International Environmental Law, Faculty of Law, University of Oxford, and Yamani Fellow in Public International Law, St Peter's College, Oxford. Lavanya writes, teaches and advises on international climate change law. She has been closely involved in the climate change negotiations in various capacities for two decades, including as advisor to Chairs, Presidencies, and the Secretariat. She was part of the core UNFCCC drafting and advisory group for the Paris Agreement. And a Coordinating Lead author for the Intergovernmental Panel on Climate Change's Sixth Assessment Report. She is also currently involved in providing the evidence base for ongoing climate change litigation in national, regional and international courts.