| Week 1 | |||
|---|---|---|---|
| Day | Morning 10:00am | Afternoon 1:00pm | Evening |
| Monday, September 13 | Welcome and Tour of Hyde Park Meet at 10:00am in Eckhart 206. | Analysis, Yan Zhang and Shawn Drenning Measure Theory. Motivation for Lebesgue integration. Lebesgue dominated convergence theorem. Function spaces (L^p spaces), different notions of convergence (pointwise, uniform, L^p, in measure). Random variables, expectation, and independence. | 8:00pm: Game Night in the Barn Meet in the Barn (big room on the 3rd floor where Eckhart meets Ryerson) for board and card games. |
| Tuesday, September 14 | Algebra I, Preston Wake and Galya Dobrovolska (notes) Topics possibly including: ring theory, modules, algebras, tensor products, field theory, Galois theory | Topology, Charles Staats and Francis Chung (notes) Point-set topology. Topology and continuity (cf. convergence), compactness, connectedness, subspace/quotient/product topologies, metric spaces. Spaces of maps, compact-open topology. Examples. |
|
| Wednesday, September 15 | Analysis II, Timur Akhunov and Kun Gao Functional Analysis. Banach spaces, Hilbert spaces, topological vector spaces, strong/weak/weak^* convergence. Fourier series, Fourier transforms, Hahn-Banach theorem, spectral theorem. | Forum on Life in Chicago Learn about all Chicago has to offer. Bring questions if you have them! | 6:00pm: Dinner at Medici For more information, see the Medici website and a map. |
| Thursday, September 16 | Manifolds I, Tam Nguyen Phan and Zack Madden Definition of smooth and topological manifolds. Examples. Calculus in R^n, change of variables. Partitions of unity. Inverse and implicit function theorems, tangent spaces, vector fields. | Trip to Art Institute of Chicago Meet at the #6 bus stop at 55th and S. Hyde Park Blvd. Admission is free with UChicago student ID. Bus fare is $2.25 each way if you pay cash. See the museum website for more information. | |
| Friday, September 17 | Algebra II, Daniele Rosso and Alex Wright Matrices: determinant/trace, Jordan Form, characteristic polynomials, semisimple and nilpotent decompositions. Group representations, characters. Lie algebras, derivations, Lie algebra of derivations, representations of Lie algebras. | Manifolds II, Katie Mann and Tom Church Lie derivatives, tangent bundles, vector bundles, fiber bundles, Lie groups, examples. | 7:00pm: Hyde Park Bar Crawl Meet at Seven-Ten Lanes, near 55th and Ellis. If you want to get dinner at Seven-Ten, make sure you are on time. You must have either a passport or a US state ID/driver's license, it must be valid (not expired), and it must say that you are at least 21 years old. |
| Saturday, September 18 | 1:00pm: Trip Downtown Meet at the #6 bus stop at 55th and S. Hyde Park Blvd. A trip downtown which may include shopping, a trip to the zoo, and more. Bus fare is $2.25 each way if you pay cash. | ||
| Sunday, September 19 | 1:00pm: International Student Orientation Note: This is mandatory for international students. Takes place at International House, in the Assembly Hall. Lunch is included. See the event website for more information. 5:30pm: Riccardo Muti conducts the CSO in Millenium Park. No organized trip, but worth attending if you are so inclined. Performance starts at 5:30. | ||
| Week 2 | |||
| Day | Morning 10:00am | Afternoon 1:00pm | Evening |
| Monday, September 20 | In the Barn: Algebraic Topology, Rolf Hoyer and Anna Marie Bohmann Homotopies, fundamental group, covering spaces and universal cover, fundamental theorem of covering space theory, group actions, homology of spaces, examples. | Category Theory, Emily Riehl and Daniel Schaeppi Definitions, motivation, and examples. Functors and natural transformations, products and coproducts. Direct limits and projective limits. | |
| Tuesday, September 21 | 11:00am: Graduate Student Orientation Begins at Rockefeller Chapel. See the event website for more information. This includes a welcome by the Provost, lunch, information sessions, and refreshments at the Pub. | Graduate Student Social Hour Following the Graduate Student Orientation there will be drinks, hosted by the Graduate Council. | |
| Wednesday, September 22 | 10:15, in Ryerson 358: Homological Algebra, Evan Jenkins and Aaron Marcus Motivation, tensor/symmetric/alternating algebras, complexes, homology/cohomology of complexes, exact sequences, group cohomology. | Research talks: Spencer Dowdall: "Curves on Surfaces" Francis Chung Tom Church | |
| Thursday, September 23 | Department Orientation Meet in Eckhart 206 for a formal welcome to the department. | 12:00pm: First Year Photos Meet in front of Eckhart 3:00pm: Research talks: Andy Lawrie: "Wave Maps on Manifolds" Evan Jenkins Tam Nguyen Phan | 6:00pm: Dinner in Chinatown followed by Bar Crawl on the North Side Meet at the #55 bus stop at 55th and Woodlawn. You will need a Chicago Card (preferred) or a lot of $1 bills to pay for public transportation. If you are coming to the bar crawl after dinner, you must have either a passport or a US state ID/driver's license, it must be valid (not expired), and it must say that you are at least 21 years old. |
| Friday, September 24 | Sleep in / Pancake Breakfast What could be better after a night of drinking than a pancake breakfast? Meet at 11:00am at the Pancake House, near 51st St. and Harper Ave. | 2:00pm: Forum on How to Get Through the First Year Program Older graduate students will give their take on the first year program, and advice about what you can do to make it more useful and enjoyable. | 5:00pm: Department Picnic Organized by the second-year class. Takes place outside, behind Eckhart. |
| Saturday, September 25 | 2:30: Walk Downtown for Dinner Meet in the first-year office for a lakeside walk downtown to Giordano's Pizza. | ||
| Sunday, September 26 | Nothing planned. Classes begin Monday! | ||
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