Change of schedule weeks 7-8: We are having an extra session in week 7 on Tuesday 9-11 AM, taking place in room S0.18. Also, in week 8 we will meet on Tuesday 9-11AM room S0.18.

 Aim: The aim of the seminar is to give an introduction to the language of infinity categories sufficient to read the literature that uses it. We will roughly use the book "Higher categories and homotopical algebra" by Cisinski as a syllabus.

Suggested References:

- D.C.Cisinski "Higher categories and homotopical algebra"

- J.Lurie "Higher Topos Theory"

- A. Joyal "Notes on quasi-categories"

- C. Rezk "Stuff About Quasicategories"

Schedule:

Week	Speaker	Topic
Week 2	Marco Schlichting	Basics on infinity categories
Week 3	Marco Schlichting	Lifting calculus, Mapping Spaces and the Joyal's lifting.
Week 4	Marco Schlichting	The Joyal model structure.
Week 5	Ferdinando Zanchetta	Simplicial categories, (co)fibered categories.
Week 6	No Reading Group	K-Theory Conference
Week 7 Extra session on Tuesday 9-11 AM Room S0.18	Ferdinando Zanchetta	The Bergner Model. Joins, slices. Left and right fibrations and initial and final objects. The Yoneda lemma.
Week 8 Seminar taking place on Tuesday 9-11 AM Room S0.18	Heng Xie	Adjoints, limits and colimits
Week 9	Husney Parvez Sarwar	More on limits and colimits, Kan extension
Week 10	Husney Parvez Sarwar	Base change formulas

Term 3: We are having a seminar on Derived Algebraic Geometry, see the webpage DAG Seminar