Information Package

18th Annual AARMS Summer School 2019

Dynamical Systems, Differential Equations, and Special Functions

University of 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.

Tim Hortons / The Courtyard Café (Building # 4 on the Campus Map): Offers options such as Bagels, Donuts, On the Go selections such as Sushi, pre-made garden salads, pre-made sandwiches, coffee, bottle drinks, other snacks o Hours: Monday to Friday 7:30 am to 3:00 pm / Closed Saturday & Sunday

AVC Café (Building # 27 on the Campus Map):

Offers a selection of pizza (made on site), Soup of the Day option, On the Go selections such as Sushi, pre-made garden salads, pre-made sandwiches, coffee, bottle drinks, other snacks o Hours: Monday to Friday 8:00 am to 3:00 pm / Closed Saturday & Sunday

Dining outside the Campus There are a number of fast food and family restaurants around the campus:  Burger King, 473 University Avenue  Thai Express, 475 University Avenue (located in the Petro Canada)  Wendy’s / Tim Hortons, 643 University Avenue  A & W, 650 University Avenue  KFC, 439 University Avenue  Smithy’s Family Restaurant, 449 University Avenue (Canadian restaurant)  Spicy Chef Restaurant, 85 Belvedere Avenue (Indian restaurant)  China King Buffet Restaurant, 660 University Avenue (Chinese restaurant)  McDonald’s, 427 University Avenue  Taco Boys, 393 University Avenue  Tim Hortons, 435 University Avenue  Domino’s Pizza (Delivery is an available option).  Subway, 480 University Avenue

Grocery Store (nearest to UPEI at approximately a 6 minute walk): Atlantic Superstore – (offers fresh and cooked meals-to-go options) 465 University Avenue, Charlottetown o Hours: Monday – Saturday 7:00 am - 12:00 am / Sunday 12 pm to 10 pm

Airport Information and UPEI Residence Information:

Upon your arrival to , a number of Taxis are lined outside the exit gate, ask the taxi driver to take you to the Bill and Denise Andrew Hall at UPEI (also known as Andrew Hall).

Upon arrival at the Bill and Denise Andrew Hall, please identify yourself at the Reception Desk as an AARMS Summer School participant to check-in and receive the key to your room. The attendant will guide you to your building/room and provide you with a welcome package and any necessary information.

Accommodation at UPEI:

The accommodations for students are sponsored by AARMS and will be on the UPEI Campus. The student rooms are either in Bill and Denise Andrew Hall or Blanchard Hall:

Bill and Denise Andrew Hall is a co-ed five story residence with 2-bedroom suites, as well as a small number of 1- and 3-bedroom suites. Each suite is equipped with a bathroom and a kitchenette. Students living in this building will have access to common TV lounges, laundry facilities, and the convenience of entering the Wanda Wyatt Dining Hall without exiting the building.

Blanchard Hall, our apartment style residence, is located a short distance from the Wanda Wyatt Dining Hall at the south end of the campus. This three-story brick building contains 63 two- bedroom furnished apartments, complete with a kitchen, living room and bathroom. Students have their own bedrooms but share the common living area of the apartment. Blanchard Hall offers common laundry facilities, a TV lounge, and two large study spaces on the first floor. One section is designated as a "quiet section" with extended quiet hours. Priority for spaces in Blanchard Hall goes to students in second year and above, as well as to mature students returning to university.

Transportation while in Charlottetown

1. Local Taxi Services: City Taxi: (902) 892 6567 – (902) 569-9999 Yellow Taxi (902) 566 6666 Co-op Taxi: (902) 628-8200

2. Public Transit: Cash fares = $2.00 CAD For the fares and maps, please check the website: http://triustransit.ca/

UPEI Campus Map:

Free Things to Do in Charlottetown:

Looking for something to do in your free time while on Prince Edward Island? Look no further than Discover Charlottetown! There are many free and inexpensive experiences to be had: Please scan the below QR code to bring you to the Discover webpage.

ALWAYS ON STAGE Saturday, June 1, 2019 - Saturday, August 31, 2019 at 12:01am - 12:01am

TD Always on Stage is your (free!) ticket to live music in downtown Charlottetown every day of the summer. Find your way to a patio on Victoria Row and enjoy performances by up-and-coming, talented musicians on the Row’s outdoor stage as you enjoy your lunch or dinner. A second stage on Sydney Street hosts musician on select days and times. Since 2000, Always on Stage has provided performance opportunities, mentoring and employment to hundreds of emerging musicians. Many of its past participants have become noted performers.

DIVERSECITY MULTICULTURAL FESTIVAL Sunday, June 23, 2019 (all day)

Atlantic Canada's largest cultural festival, Charlottetown’s DiverseCity Multicultural Street Festival is a not-to-be-missed celebration of the many cultures and ethnicities that make up the Island community. It's filled with positive energy, plenty of family-friendly activities and it's FREE to enter. Taking place on Sunday, June 23rd in the heart of downtown Charlottetown, DiverseCity takes over two blocks of Queen Street for eight hours filled with festivities. Highlights of this annual event include loads of delicious international cuisine, beautiful handcrafts for purchase, cultural information displays, children's games and activities, cultural performances (dancing, martial arts, etc.) and live entertainment on the mainstage. This year’s DiverseCity will showcase the cultural talents of over 50 ethnocultural groups in PEI, including newcomer and long-established cultural communities!

CANADA DAY CELEBRATIONS Monday, July 1, 2019 (all day)

Celebrate Canada's 152nd birthday in the Birthplace of Confederation! Join us in Charlottetown's Victoria Park on Monday, July 1st and show your Canadian pride! Events for all ages will include a Living Flag activity, a Family Fun Zone, giveaways, and a spectacular fireworks display to cap off the celebrations. An all-day musical celebration - Coastal Vibes - will take place at the Victoria Park Cultural Pavilion featuring a talented line-up of Island musicians.

PLEASE NOTE: All Capital City Canada Day activities are weather permitting. Cancellations or weather related announcements will be issued through local media, and the City's social media channels. Stay up to date on Facebook and Twitter @ChtownPE.

FARMERS MARKET 9:00 am to 2:00 pm Open every Saturday, year-round.

PEAKE’S WHARF HISTORIC WATERFRONT CONCERT SERIES FREE outdoor entertainment daily July 1 to August 31. Shows 2:00pm to 4:00pm & 6:00pm to 8:00pm. All show are weather permitting. Walk along the historic Charlottetown waterfront and enjoy some of PEI’s finest entertainment. Totally local & totally free.

THE CONFEDERATION CENTRE YOUNG COMPANY June 29 - August 17 | 12:00pm The Confederation Centre Young Company is one of our country’s leading performance-based training programs. With a strong focus on all three performance disciplines, 13 young artists from across Canada gather to share their life experiences and share the stories that define us as Canadians. This upbeat musical weaves music and dance through stories about our collective Canadian identity.

CONFEDERATION CENTRE OF THE ARTS Fast Forward Art Exhibit: In the Balance Art Exhibit:

Inexpensive evening options:

FESTIVAL OF SMALL HALLS:

With more than 50 performances through 14 days in June in 45 rural community halls, the Festival of Small Halls is a critically acclaimed traditional music and dance festival that has toes tapping across the Island.

Held in June throughout the entire province, the Festival of Small Halls brings exceptional shows to treasured places many Islanders have not yet discovered. Many performers return to the small communities and rural stages where they danced their first jig or plucked their first string.

Recognized in 2009 as an East Coast Music Award nominee for "Event of the Year", the Festival mixes music and dance from PEI's rich Irish, Scottish and Acadian cultures, along with the Island's proud tradition of singer-songwriters and the popular genres of bluegrass and old-time country. A wonderful medley of roots and old time music will take place in ancestral rural halls of all shapes and sizes.

SMALL PRINT BOARD GAME CAFÉ $5 PER PERSON

Small Print Board Game Café is PEI’s first board game café; our focus is on playing games and socializing with friends. Small Print is a 19+ venue that serves gourmet coffee, local craft beers and a concentrated menu of game snacks that can be shared with friends.

Here’s the scoop: For $5 you can play as many board games as you want and stay as long as you want. There are over 300 games to choose from; these range from classics like Monopoly, Pictionary, and Scrabble to more modern games such as Ticket to Ride, Settlers of Catan and Carcassonne. Our staff have an extensive knowledge of board games, and can help you select and set up a game, providing you with a walk through of the game and its rules; let us take care of the small print! HOURS: Tue-Thu: 5pm - 11pm Fri & Sat: 5 pm - midnight * NOTE: minors are permitted if accompanied by parent/guardian up to 8:00 pm.