Information Package 18th Annual AARMS Summer School 2019 Dynamical Systems, Differential Equations, and Special Functions University of Prince Edward Island School of Mathematical and Computational Sciences June 17 – July 12, 2019 Welcome Message from AARMS On behalf of the Atlantic Association for Research in the Mathematical Sciences (AARMS), I would like to welcome you to the beautiful province of Prince Edward Island for the 18th annual AARMS Summer School. This is the third summer school held by the University of Prince Edward Island, and the local organizers have ensured that it will be an academically valuable and personally memorable experience for both the students and guest lecturers. AARMS is one of the four regional institutes representing the mathematical community in Canada. The others are the Pacific Institute for the Mathematical Science (PIMS), the Fields Institute, and the Centre de Recherches Mathematiques (CRM) representing Western Canada, Ontario and Quebec, respectively. In addition to the Summer School, AARMS funds a wide variety of conferences and workshops; postdoctoral fellowships; collaborative research groups; industrial problem solving workshops (IPSWs); and mathematical outreach in Atlantic Canada. If you are a student from Atlantic Canada or are visiting us from further afield, I would encourage you to investigate the AARMS programs described at aarms.math.ca and consider applying for support as a future postdoc, outreach organizer, IPSW participant, recipient of a Mitacs internship, Mathematical Sciences Research Institute (MSRI) summer graduate program participant, or in some other capacity. AARMS receives funding from the provincial governments of Nova Scotia, New Brunswick, Newfoundland and Labrador, and Prince Edward Island. We also receive support from the Government of Canada via NSERC, and our member universities from throughout Atlantic Canada. We are grateful to all of these organizations for making the wide variety of AARMS supported activities possible. Finally, we all owe many thanks to Shafiqul Islam (Summer School Director), Alexander Alvarez, Shannon Fitzpatrick, and Nasser Saad for taking on the daunting task of organizing an event of this magnitude and scope. I am certain it will be a great success. Sincerely, Sanjeev Seahra Director of AARMS Welcome Message from SMCS Welcome to the 2019 AARMS Summer School, hosted by the School of Mathematical and Computational Sciences (SMCS) at the University of Prince Edward Island (UPEI). This is the 18th annual AARMS Summer School, with Prince Edward Island playing host for the 3rd consecutive year. This year we celebrate the 50th anniversary of UPEI. While its roots go back to the mid-1800s, UPEI was established in 1969 with the merger of its founding institutions Saint Dunstan’s University and Prince of Wales College. UPEI has seen many developments over the last 50 years, and we continue to innovate to provide high-quality programming for our students. This was the motivation when SMCS was founded in 2016. We recognized the growing need for graduates with strong quantitative skills and responded by adding programs in Statistics, Actuarial Science, Financial Mathematics, Data Analytics and Business Analytics to the existing programs in Mathematics and Computer Sciences. I am proud to say that UPEI now offers the most comprehensive suite of programs in the mathematical and computational sciences in Atlantic Canada. I want to take this opportunity to thank the Director of the Summer School, Dr. Shafiqul Islam, as well as his co-organizers Dr. Nasser Saad and Dr. Alexander Alvarez. I also want to thank Drs. Laure Coutin, Mourad Ismail, Franklin Mendivil and James York for providing this year’s scientific program. I wish you success in your courses and hope you enjoy your time on our beautiful island. Sincerely, Dr. Shannon Fitzpatrick Associate Dean, SMCS, UPEI General Information AARMS (Atlantic Association for Research in the Mathematical Sciences) is a consortium supported by universities in the Atlantic Provinces, the three Canadian mathematical sciences research institutes and the provinces of Newfoundland and Labrador, New Brunswick and Nova Scotia. It provides funding for mathematical sciences research in the region, collaborative research groups, support for postdoctoral fellowships, an annual summer school for graduate students, and outreach by mathematical scientists to the schools, industry and other academic disciplines. For further information on AARMS please consult our website www.aarms.math.ca. This year’s summer school is being held at the University of Prince Edward Island. 2019 Summer School Organizing Committee: Dr. Shafiqul Islam Associate Professor, UPEI Director, AARMS Summer School P: 902-566-6499 E: [email protected] Dr. Alexander Alvarez Assistant Professor, UPEI P: 902-894-2815 E: [email protected] Dr. Shannon Fitzpatrick Interim Associate Dean, SMCS, UPEI P: 902-566-0619 E: [email protected] Dr. Nasser Saad Professor, UPEI P: 902-566-0357 E: [email protected] 2019 Summer School Director: Dr. Shafiqul Islam 2019 Summer School website: https://aarms.math.ca/summer-school/school2019/ Course Schedules & Locations: Please note: Monday, July 1st is a holiday in Canada so there will be no courses scheduled on this day. Fractals: Using Iterated Function Systems (IFS) to Construct, Explore, and Understand Fractals Course Schedule: June 17 to June 28, 2019 Monday to Friday from 1:00 pm to 4:00 pm Room: MCDH 246 (Don and Marion McDougall Hall) Instructor: Franklin Mendivil, Acadia University, Nova Scotia Location: Don and Marion McDougall Hall, Room 328 / Building # 12 on the Campus Map q-series in Analysis and Combinatorics 1st Session Course Schedule: June 17 to June 28, 2019 Monday to Friday from 6:00 pm to 7:00 pm Room: CASS 101 (Cass Science Hall) 2nd Session Course Schedule: July 2 to July 12 (note: no class on Monday, July 1st) Monday to Friday from 2:00 pm to 4:00 pm Room: CSH 101 (Cass Science Hall) Instructor: Mourad Ismail, University of Central Florida, USA Location: Cass Science Hall, Room 101 / Building # 10 on the Campus Map The Mathematics and Science of Chaos Course Schedule: June 17 to June 28, 2019 Monday to Friday: This course is broken up into three sessions from 8:30 am to 9:30 am; then 10:30 am to 11:30 am; then 4:30 pm to 5:30 pm Room: MCDH 328 (Don and Marion McDougall Hall) Instructor: James Yorke, Maryland, USA Location: Don and Marion McDougall Hall, Room 328 / Building # 12 on the Campus Map Rough Paths Theory Course Schedule: July 2 to July 12, 2019 (note: no class on Monday, July 1st) Monday to Friday from 8:30 to 11:50 Room: MCDH 328 Instructor: Laure Coutin, Institut de Mathématiques de Toulouse, France Location: Don and Marion McDougall Hall, Room 328 / Building # 12 on the Campus Map CASS Science Hall (CSH) - building # 10 on the Campus Map Don and Marion McDougall Hall (MCDH) – building # 12 on the Campus Map Internet & Computer Access: Wireless Internet access through your own mobile device(s) within the Campus is available. o If you have Eduroam set up on your device(s), it will work at UPEI o If you do not have Eduraom, you can access WIFI using the following: o Network: PANTHERNET-OPEN o Username: confguest o Password: presenter@upei Networked computers are available at Robertson Library (building # 15 on the Campus Map) Telephone: 902-566 0583 Robertson Library Hours: Monday – Thursday 8 am – 8 pm Friday 8 am – 5 pm Saturday CLOSED Sunday 1 pm – 8 pm NOTE: Library will be closed Monday, July 1st for Canada Day Robertson Library (RL) – building # 15 on the Campus Map Useful Telephone Numbers: UPEI Security Services: (902) 566 0384 (24-hour service) UPEI Residence Services: (902) 566 0330 UPEI Health Centre: (902) 566 0616 (Monday to Friday 8:30 am to 4 pm) PEI Police: 911 (24-hour service) PEI’s Office of Immigration: General Inquiries: Phone: (902) 620-3628 Email: [email protected] Website: https://www.princeedwardisland.ca/en/topic/office-immigration Dining on Campus Options: Breakfast note for those staying in Residence: Breakfast will be served from 8:00 am to 9:00 am only; Doors are locked at 9:00 am. The breakfast buffet will consist of a hot item such as scrambled eggs or pancakes etc. with breakfast meats, hash browns, toast, whole fruit and cereals, coffee, tea and juices. Wanda Wyatt Dining Hall (WWDH) (Building # 18 on the Campus Map): UPEI's "Dine on Campus" food service offers an open buffet for both lunch and supper. Prices range from $8.59 to $14.90 + tax (Canadian dollars). Wanda Wyatt Dining Hall Hours: June 17 to July 7: The dining hall is only open Monday to Friday for lunch and supper service. There is no weekend service for lunch and supper during this time. July 8 to July 31st: The dining hall is open 7 days a week, Monday to Sunday, for lunch and supper service. General rules and guidelines that are in place for all diners (students, staff, groups and conference attendees): Upon entry, all bags, briefcases, back packs must be stowed in the cubby located in the front lobby Only those with meal tickets, meal cards, or paying at the door will be permitted into the dining hall. Meals are a set price for all and the dining hall is on an “All you care to Eat” system. While it is all you care to eat, staff will limit the amount of food you take at any one time. No outside food or beverages permitted to enter the dining hall. No dining hall food or beverage is permitted to leave the dining hall. All diners are asked to clear their dirty dishes to the appropriate area. Subway: There is a Subway restaurant located at two different places on Campus: Inside the Bell Aliant Centre o Hours: Monday to Saturday: 8:00 am to 8:00 pm / Sunday 9:00 am to 8:00 pm Behind the UPEI residence at 480 University Avenue o Hours: Monday - Thursday 7 am to 11 pm / Friday 7 am to 12 am / Saturday 8 am to 12 am / Sunday 9 am to 11 pm.